Go to
The Villages 4 Rent, Rentals in The Villages. You can find weekly rentals of homes in the Villages April - Dec that would be cheaper than a hotel for a week. Some come with golf carts, some do not but cart rentals are pretty reasonable during that period. Search under golf cart rental and you'll find recommendations and warnings about the different suppliers. To get the resident guest pass is usually another $50 because that is the cost to the owner to provide the pass for 1 week or 1 year. You'll have to make your own bed and not make a mess or forfeit the security deposit but they are available in any location you like.