Hi - you might PM RichardT and ask him. He's from that area. I grew up there and suggest that you look just outside hendersonville - try brevard or mills river - beautiful!
This is one of my favs... west of hendersonville - about 10 miles - creeks runs through with crawdads and gentle innertubing. but a little rustic!
The North Mills River Campground is located five miles west of NC 280 on North Mills River Road - at the entrance to the National Forest. Open from April 1 to October 31, this campground offers 32 level, shady sites with flush toilets. Smaller RV's will fit into some sites and are welcome, but no water or electricity hookups are provided. Rates are $6/night. The campground is across the road from the river and a picnic area and large grassy meadow are nearby.