Brevard is cool area, Pisgah Natl forest area!
Also look up Dupont Forest, hiking, Mtn Biking, lots of waterfalls.
Sliding Rock, Looking Glass Falls, Cradle of Forestry and going tubing.
Dupont -Hunger games filmed parts there, alos Last of Mohicans.
Camping wise:
Davidson River is excellent (although 4th weeekend looks booked).
or try
Ash GroveNot far from Asheville, also as far as checking out that area.
Markiemark