I think a previous poster mentioned Charleston, SC which is a beautiful city and has great beaches...it is a 6 hour drive from Orlando(non-stop). So not sure if that is too far. If you want something only a couple hours from Orlando and not far off I-95 I would highly recommend St. Augustine Beach. If you want some R&R the beach is low key a few hotels(Holiday Inn, Hilton, Best Western) and some great restaurants. You really don't have to leave the beach. It is also still south enough that you may still be able to enjoy the ocean water at the end of November. If you still have some evergy after walking 1000 miles through the parks, lol, then downtown St. Augustine is also a historical city and a great "walking" city and has alot to offer to see.
Other great options are Tybee Island, Amelia Island, Jekyll Island...these are all around the Georgia/Florida border so the drive wouldn't be too awful after a day at a park.
Good Luck!