Gator,
I live in Miami, but until recently, lived in G-Ville for, well, it seemed like forever.
Lochloosa, both dog and still sides, Ocala Nat. Forest, Osceola around Lake Butler and up SR 231 towards US 90. All these are good local areas that you can hunt. Stop by some of the places where hunters hang out. Try Harrys place down just north of Micanopy. Talk to Rob or Mac, they know every place there is to hunt.
There are a lot of farms around Gainesville, that you can get permission to hunt. Yes, lots of the land is tied up with hunt clubs, but threre are guys that will let you hunt their land. I have hunted some fine farm land up north of Hague that belongs to a fellow I met hanging out down at Harry's. Be friendly, be polite, get to know folks. It works darn near every time.
Email me if you need more information