Check out Tamiami or Fort Lauderdale. Plenty of places to hire around there. See if you can hire and actually keep the aircraft for a week or so for your own use. Then rather than flying somewhere then having to come back you could tour around and stop overnight wherever you fancy. Some great places to go in Florida are Cedar Key (check out the 1950's cab!) Venice Beach (Gotta go to Sharkies! fab food) or even upto Savannah and see if you can get around the Gulfstream factory. Fly over Disney land at night and watch the fireworks.
Have fun! I did!