I think road cruising is your best bet. You could also try getting a decoy and predator call. http://www.outfoxedproducts.com/whirlingwoodpecker.htm
This has brought in Mountain Lions out west, it may work in Florida. I have one, but haven't used it much. I think I did call in a bobcat with a distressed rabbit call once. Owls come in regularly and calls will bring in alligators as well.
If you just want to get a picture, try getting a hunting model motion camera and then spray CK1 on the location where you want the cat to be. I hear this works.