The National Park Service Julian Price campground is located alongside the Blue Ridge Parkway just south of Blowing Rock. It has no hookups but does have bathhouses and a dump station.
Thirty miles north of Blowing Rock at Laurel Springs, just off the Blue Ridge Parkway (between milepost 257 and 258), is Raccoon Holler Campground. This private campground seemed nice when we drove through it a couple of years ago. Raccoon Holler Campground / RV Camping / North Carolina Mountains / Blue Ridge Parkway
Fifty-nine miles north of Blowing Rock, just off the Blue Ridge Parkway, is Stone Mountain State Park. It has a nice campground with water, electricity, and a dump station.