The Beaver Dam Trail at Dolly Sods Wilderness, is a 1.4 mile out-and-back trail that leads from FR75 down to the Dobbin Grade Trail.
The entire trail is downhill, so the hike back isn't the easiest, but the grade isn't steep. At the end of the trail (where it meets with Dobbin Grade), you'll find Red Creek cutting through the valley for a water source.
Camping: There are plenty of campsites along this trail, which make it an easy drive-up backpacking trail. Right as you head onto the trail, heading down into the Sods, you'll notice there's an open field on your right-hand side - this is a popular campsite. Halfway through the trail is yet another campsite that sites under a couple of trees on the left-hand side of the trail.
Warning: Dolly Sods was used for military bombing training during WWII and there are still unexploded ordinances in the ground out in the wilderness. Most of these trails and the areas around them have been combed and searched, but not everything has been found. If you find any strange metal objects, especially bomb-shaped, do not tamper with them. Make a note of where you found it and alert the proper authorities. More information can be found at the wilderness trailheads.
Dolly Sods trail map PDF