Virginia Camping And Hiking

Great camping sites?
Anybody know of a good place to camp for a family to go to? Children 6 to 16. Preferably you want a place where you can hike, fish, swim, etc … (Do not look please). And maybe some of the activities of the family. We could make the traditional camp, such as shops tents or huts. Unit could be anywhere from 6 to 10 hours Southeast of Virginia.
There are four campgrounds in the "Shenandoah National Park. Mathews Arm (22.1 miles) Big Meadows (51.2 miles) Lewis Mountain (mile 57.5) Loft Mountain (79.5 miles)
West Virginia Camping Trip