Actaully there is some damn fine hunting in the Tampa area. You will need to drive North a bit to find it though.
There are whats call Wildlife management area's that are run by the Florida Fish and game.
Richloam is good place to start. It is a dog hunt area but there are several places they won't put out dogs becuase it backs up to highways or private land and guess what, those areas see a lot of deer traffic and not much people traffic becuase 90% of the hunters are chasing their dogs.
Just down the road from there is Green Swamp. It is a still hunt area and is loaded with nice bucks. It is hard to hunt becuase it is wet at times but the deer are there.
A little further north is a place called Citrus. It has some great hunting also and is a still hunt area. Citrus requires quota permits for all hunts.
Another great place that is close to I-75 a little north of tamp is Croom. Croom has a limited season but the hunting is usually very good.
the Green Swamp and Richloam area bring out someof the best racked bucks in th state year after year.
these are all public lands and you must expect see other hunters. If you do it right you can use other hunters as deer dogs. I will find a area that is heavily hunted and get down wind several hundred yards and let all those people push the deer to me.
http://myfwc.com/hunting/
this link will put you on the right path.
BTW I haved hunted all over this state. I have hunted the 10K Ranches and with a little work and effort I will take as many deer on public land as anyone will on the high priced places.
I stopped hunting Florida to try something else some years back. this weekend I am looking at new property in North FLA to lease.