We visited in the Creep Trail in southern VA and camped (pop-up camper) at the Grinstone Campground in Mt. Rogers. The site was secluded but close enough to our friends that we could enjoy each others company, visit each other for shared meals and still have privacy at night. My kids enoyed the paved roads for riding bikes. We did not get to see much of the park but it looks there would have been lots of trails to explore.
We were able to arrange a shuttle to take 18 of us and our bikes to the Creeper Trail for the day.