Stone Mountain should be no further for you than Asheville. There are creeks there to play in with a sliding rock area. Waterfalls, hiking trails, plenty of paved road around the spacious campsites to bike around. Check out the photos below. The best part is the price of $25/night (including the reservation fee)
http://s1080.photobucket.com/user/brianwood69/library/Stone%20Mountain%20State%20Park%20North%20Carolinahttp://s1080.photobucket.com/user/brianwood69/library/Stone%20Mountain%20State%20Park%20North%20Carolina/August%202012
