Slasher,
The first day of the month of Ramadan equates to 26 Oct. The last day is 24 Nov. Then follows a week of 'Eid' or holiday where you may expect many Muslims to have time off.
During Ramadan you should refrain from eating, drinking or smoking in public during daylight and it would be wise to make youself more aware of any more local cultural or religious issues depending on the destination.
In theory, the best time for a visit is probably mid-morning. First thing might be a bit too early from people stopping up eating all night (instead of sleeping) and by the afternoon it can all start to catch up...
Have fun,
Bear555