I live in Miami and hunt in the Big Cypress. Mostly with a bow, except for the two weeks of black powder season in October. The rut down here is spread out from July to September usually, with the most activity in mid August, just before the start of bow season. In September on opening day I got a spike. Last year I got a 8 point during the same time. Since I can only take 2 on public land I usually quit after one in September because it is so hot and uncomfortable. Then I come back during gun season.
There is a bow only section called Deep Lake (appropriately named by the way) that has a secondary archery season that coincides with the gun season. I usually have the place where I hunt to myself. Not a lot of bowhunters down here. Went out this past weekend. It was nice and cool, but I didn't see anything. Be back again next weekend, and so on til the end of the year or til I get #2, whichever happens first.