We often find ourselves walking the trails around Haywood Community College in Clyde, North Carolina. It is a great resource and usually not crowded.
We took a short trip over to Wildcat Ridge Farm to visit their Peony Gardens. It's a nice garden near the Pigeon River. The garden is small, but it is pretty. If you visit, be sure to have a high clearance visit as the driveway is gravel and it is rutted.