Hi Chris,
I would rent a car, but maybe not for all 6 days. You would be able to check the areas not available by golf cart.
We are close to many major attractions and towns.
One thing you will want to bring with you is a GPS. Some of the new areas of the villages are not in the programs yet, but you will find it very usefull. You will need to enter Lady Lake in it instead of the villages for it to pick up the maps.
Also, the map they provide you with is not the greatest. Ask for the detailed map of TV (it will cost $5) The detailed map is the one that will keep you from getting lost. (just misplaced)
If you get lost, pull over and take out the map and see how fast people will stop to offer you help.
P.S. take the free trolley tour first in order to get a general idea of where things are.
I hope this helps.
Darrell