We always leave Florida in the Winter to travel north and west to colder climates. Tennessee will not get so cold, for an extended period of time to cause any major problems.
Forget about hooking up to shore water if the temps are going to get below freezing. Just keep your fresh water tank close to full and use it for your water needs.
If it is going to get below freezing for any length, a 100 watt bulb in a garage trouble light and left in your wet basement compartment will keep things flowing.
Don't hook up your sewer line until you are ready to dump the tanks.
Enjoy the area and worry more about keeping yourself warm than the coach freezing. An electric blanket might be helpful.