Campgrounds in the northwest part of North Carolina

Also in Asheville is Campfire Lodgings, very quiet with awesome views of the city from their prime sites. Pricey but excellent. Full hkups + cable.
Waynesville has Creekwood Farms, adult oriented.
There are several national park campgrounds if you want to dry camp: Elkmont, Smokemont, Davidson River, Deep Creek come to mind. Bryson City is a great little town with several different campgrounds that include Deep Creek Tube Center & Campground. Has full hkups.
Tanglewood is located near great golfing. Small, wooded, nice set up. As said, close to stores, etc.
Campgrounds are near Cherokee if you want more commercial type.

If just you and wife Mama Gertie's is very nice. Not much there for kids, but quiet and close to everything in Asheville.

What amenities are you looking for? There are campgrounds all the way from forest service campgrounds to tourist trap campgrounds.

By western NC I assume you mean the mountains (High Country).

Don't know how far into the state you want to travel, but we liked Tanglewood Forsyth County park in Clemmons, NC near Winston Salem. Nice trees, reasonable rates, full hookups. Lots to do. Near shops, restaurants.
Also near Asheville the KOA West in Candler seems to be the better of the KOA's. Another option. Mama Gertie's Hideaway in Swannanoa. Beautifully landscaped, clean, quiet campground with great managers. On the side of a mountain but sites are very level. Only negative is for us flatlanders it was difficult to go for a long walk and the restrooms are at the bottom of the hill. No problem for us as we used our own showers. Very convenient area.

I don't know where you're wanting to be near, but Asheville East KOA and Mama Gertie's both in Swannanoa are near Asheville and I-40. Both are very nice, well-kept, and friendly. If you're wanting to be centrally located for checking out the NC mountains then that area would be ideal.

Check out RVParkReviews.com for North Carolina, and then look for the area you are interested in visiting.
Keep in mind that you will see good and bad reviews for the same CG...so read the reviews, to decide if those issues will apply to you.

Good luck:)