FL has a lot of WMAs that allow deer hunting. Some are on quota and some aren't. I have hunted a lot on the panhandle but not in South FL. My suggestion is go to the FLW webiste and see what is available in the area you're interested in. For what it is worth there are a couple of places in South FL that have exotics like axis deer and water buffalo if that is your thing. There are also some guys that hunt private land year round for gators and there are a number of deer outfitters as well.