What he said. N. Fl has MUCH more opportunity for both public and private land hunting than S or SW Fl. I moved down here from Jax 21 years ago. Back then, there was a really good shooting club on the west side. You should check to see if it is still there and join if it is.
For any kind of serious deer hunting, most of the hunters in that area will get onto leases in GA. Lease prices up there are half what they are in N. FL and 20% of what they are in central FL.