The in-laws live in Asheville, so we have been about 15 times. Sometimes camping sometimes not. We have stayed at Mama Gerties--very pretty but nothing for kids to do there.
We loved The Asheville East KOA. It is close to the highway and there is train noise--but it is very pretty once you get inside there and the sites along the river are very long and nice. Much to do for kids and very nice management.
You must eat at Tupelo Honey Cafe in town.
The Arboretum is very nice
The Nature Center is very nice.
Jack O'the Wood is great for bluegrass and drinks.
Please check out our blog--we have written about so many things in and around Asheville.