Okay, I'm being cheap here... My National Geographic map of the Smokies is old enough it doesn't show the BMT on it. From the BMT Association website it looks as if the trail follows the Twentymile Trail, the Lost Cove Trail, the Lakeshore Trail, the Noland Creek Trail, Pole Road Creek Trail, Sunkota Ridge Trail, and so on.
In the southern part of the Park it looks as if there are plenty of campsites that don't need reservations. I haven't stayed at any of them so I'm looking for recommendations. Do you have any favorites? I'm looking at Memorial Day weekend.