They have a few private rentals, one is called Parrot House which is about a mile to the south east of the airport, and the other is located at Winter Park, just further to the south east off Davis Blvd.
If you are staying longer than just a few weeks, most people either rent a place at River Reach to the North, rent privately or get in touch with current students that may have a spare room for rent.
I had a great time at Naples, I'm sure you'll have the same.
ADRH