Topsail Hill State Park in Santa Rosa Beach (basically just east of Destin) or Henderson Beach State Park in Destin a both very nice. Topsail has on site sewers, Henderson Beach has a dump station. Plenty to eat, see, buy, eat, look at, walk on the beach, eat, or maybe just stop and have snack in the Destin area.
For a get away from it all (literally), try Ho Hum RV Park just east of Carrabelle. It has pull in spots facing the gulf (water is about 10 feet in front of you). Try to get sit 41, the only 50 amp gulf facing site. The others are 30 amp. Fish off the pier. Apalachicola is a few minutes drive for a quaint old town with nice shops, and some very good places to eat. If you must go shopping or insist on visiting THE MAJOR UNIVERSITY in the state, Tallahassee is a 45 minute drive.
Travel well, travel safe,
2006 Tiffin Phaeton - 2011 Cadillac SRX