If you are willing to stay about an hour south of there, the Great Outdoors resort in Titusville is about the nicest place I have ever stayed. It's always 10/10/10 in the TL Directory.
http://www.tgoresort.com/
They have pools, hiking trails, restaurants on site, an 18-hole golf course, a fitness center, fishing lakes and even a beauty shop and RV repair shop on site. Lots of full time snowbirds live there, but they will rent you a vacant lot.
It's at the high end at $45/night, but that's a concrete pad, CATV and the nicest bathrooms I have ever seen - they are individual private bathrooms just like at home.
The Space Center is just a few minutes down the road, as well as the Astronaut Hall of Fame and a pretty good WWII plane museum at the local airport.