In the Hone Quarry Recreation Area from FR 62: Cliff Trail to Meadow Knob Trail to Pond Knob Trail to FR 62, to apparent end of FR 62 and back. About 13 miles.
The key things in the woods when you're in a new place and don't have a map are really few and simple: know where the sun is in relation to your walking direction; keep an eye out, especially when you're in a place like this were you're walking around a rim, to see where you are and have been on the terrain; keep a mental idea of distance covered, from where and in what direction; and use that smoke over there from a smoldering planned burn as an orientation device.
With these, you can't to go wrong.
Photo atop Mt. Pleasant looking southwest toward the Peaks of Otter by Ken Knott.