Uwharrie National Forest
Good challenging hiking, and plenty of campsites along the trails. This is a good place for a 'shakedown hike' if you ever plan on through hiking the AT. There are a few different trailheads, so you are never too far from your car or civilization. 23/27 trailhead has a decent sized parking lot and allows for overnight parking for backpacking etc. Rt 109 trailhead has slightly smaller parking.
If you are car camping, there are established campsites for that, and you can basically disperse camp anywhere there is a site in the Uwharrie.
Month of VisitJuly