"O ye who believe! When ye go abroad (darabtum) In the cause of Allah, Investigate carefully, And say not to anyone Who offers you a salutation: 'Thou art none of a Believer!' Coveting the perishable good Of this life: with Allah Are profits and spoils abundant. Even thus were ye yourselves Before, till Allah conferred On you His favours: therefore Carefully investigate. For Allah is well aware Of all that ye do. (The Noble Quran, 4:94)"
So "daraba" literally means "beat", or "go abroad", or "give" but not in the sense to give something by hand, but rather to give or provide an example.
Important Note: Notice how Allah Almighty in Noble Chapter (Surah) 4 He used "daraba (4:34" and "darabtum (4:94)", which are both derived from the same root. He used both words in the same Chapter, which tells me that "daraba" in Noble Verse 4:34 means to desert or leave, since that's what its derived word meant in Noble Verse 4:94. The next section below will further prove my point.
I am sure there are more Noble Verses that used words derived from "daraba" in the Noble Quran, but these are the only ones I know of so far. In the case of Noble Verse 4:34 where Allah Almighty seems to allow men to hit their wives after the two warnings for ill-conduct and disloyalty, it could very well be that Allah Almighty meant to command the Muslims to "leave" the home all together and desert their wives for a long time in a hope that the wives would then come back to their senses and repent.
Noble Verses and Sayings that support the prohibition of any type of wife beating:
The following Noble Verses and Sayings from the Noble Quran and Prophet Muhammad peace be upon him respectively seem to very well support the above interpretation:
"...Do not retain them (i.e., your wives) to harm them...(The Noble Quran, 2:231)"
Narrated Mu'awiyah al-Qushayri: "I went to the Apostle of Allah (peace_be_upon_him) and asked him: What do you say (command) about our wives? He replied: Give them food what you have for yourself, and clothe them by which you clothe yourself, and do not beat them, and do not revile them. (Sunan Abu-Dawud, Book 11, Marriage (Kitab Al-Nikah), Number 2139)"
Narrated Mu'awiyah ibn Haydah: "I said: Apostle of Allah, how should we approach our wives and how should we leave them? He replied: Approach your tilth when or how you will, give her (your wife) food when you take food, clothe when you clothe yourself, do not revile her face, and do not beat her. (Sunan Abu-Dawud, Book 11, Marriage (Kitab Al-Nikah), Number 2138)"
Abu Huraira (Allah be pleased with him) reported Allah's Apostle (may peace be upon him) as saying: "He who believes in Allah and the Hereafter, if he witnesses any matter he should talk in good terms about it or keep quiet. Act kindly towards woman, for woman is created from a rib, and the most crooked part of the rib is its top. If you attempt to straighten it, you will break it, and if you leave it, its crookedness will remain there. So act kindly towards women. (Translation of Sahih Muslim, The Book of Marriage (Kitab Al-Nikah), Book 008, Number 3468)"
"O ye who believe! Ye are forbidden to inherit women against their will. Nor should ye treat them with harshness, that ye may take away part of the dower [money given by the husband to the wife for the marriage contract] ye have given them, except where they have been guilty of open lewdness; on the contrary live with them on a footing of kindness and equity. If ye take a dislike to them it may be that ye dislike a thing, and God brings about through it a great deal of good. (The Noble Quran, 4:19)"
"And among God's signs is this: He created for you mates from amongst yourselves (males as mates for females and vice versa) that you might find tranquillity and peace in them. And he has put love and kindness among you. Herein surely are signs for those who reflect. (The Noble Quran 30:21)"
"Women impure for men impure. And women of purity for men of purity. These are not affected by what people say. For them is forgiveness and an honorable provision. (The Noble Quran 24:26)"
Narrated Abu Huraira: "Allah's Apostle said, 'The strong is not the one who overcomes the people by his strength, but the strong is the one who controls himself while in anger. (Translation of Sahih Bukhari, Good Manners and Form (Al-Adab), Volume 8, Book 73, Number 135)"
Narrated Abu Huraira: "A man said to the Prophet , 'Advise me! 'The Prophet said, 'Do not become angry and furious.' The man asked (the same) again and again, and the Prophet said in each case, 'Do not become angry and furious.' (Translation of Sahih Bukhari, Good Manners and Form (Al-Adab), Volume 8, Book 73, Number 137)"
Abu Huraira reported: "I heard Allah's Messenger (may peace be upon him) as saying: One is not strong because of one's wrestling skillfully. They said: Allah's Messenger, then who is strong? He said: He who controls his anger when he is in a fit of rage. (Translation of Sahih Muslim, The Book of Virtue, Good Manners and Joining of the Ties of Relationship (Kitab Al-Birr was-Salat-I-wa'l-Adab), Book 032, Number 6314)"
Allah Almighty loves those who restrain anger: "Those who spend (freely), whether in prosperity, or in adversity; who restrain anger, and pardon (all) men; for Allah loves those who do good. (The Noble Quran, 3:134)"
The Prophet forbade striking on the face:
Let us look at the following narrations about Prophet Muhammad peace be upon him:
Narrated Salim: "....Umar said: 'The Prophet forbade beating on the face.' (Translation of Sahih Bukhari, Hunting, Slaughtering, Volume 7, Book 67, Number 449)"
Narrated AbuHurayrah: "The Prophet (peace_be_upon_him) said: When one of you inflicts a beating, he should avoid striking the face. (Sunan Abu-Dawud, Book 38, Prescribed Punishments (Kitab Al-Hudud), Number 4478)"
These narrations do not prove the interpretation that wife beating being ok as long as it is not done on the face, because the narrations are general and do not mention any wives. The striking could be done on our children when we discipline them. In this case, the above two narrations would fit perfectly with the situation, because while we can still physically discipline our children, we are not allowed to hit them on the face.
What about the saying about striking the wife lightly on her hand with a siwak?
There is not a single Saying or Noble Verse from Prophet Muhammad or the Noble Quran respectively that mentions any such beating.
A siwak is a small piece of wood that is approximately twice as long as an index finger and as thick as a thumb, which was used 1400 years ago to brush the teeth and the bad breath.
This saying actually belongs to Imam Shafie, and not to Prophet Muhammad. Imam Shafie or Minister Shafie is a popular Muslim scholar that came 100s of years after Prophet Muhammad. I used to have the reference information to his saying about this subject, but unfortunately I lost it. When I find it insha'Allah (if Allah Almighty wills it) I will post it.
Conclusion:
According to the Noble Quran and the Sayings of Prophet Muhammad peace be upon him above, wife beating in Islam is definetly prohibited, possibly even in the case where the wife fails after she was warned twice for her ill-conduct and disloyalty.
It is definetly a valid interpretation for Noble Verse 4:34 that Allah Almighty commanded the Muslim men to desert and leave their wives, and not to physically beat them as many scholars believe.
I personally favor this non-violent interpretation, because (1) It is very well supported in Islam as clearly and unquestionably shown above; and (2) It makes more sense and seems more practical in dealing with the bad wife who insists on showing ill-conduct and disloyalty toward her husband and family.
And Allah Almighty knows best, and may He forgive me if I made any mistake here.