South Ridge is a nice backcountry ride with a couple of nice views of the Volunteer Parkway area of Bristol. There are some technical sections and a couple of hike-a-bikes, but it is a great ride for the most part.
Mapped here, the route leaves from the Rooster Front trailhead. If you're connecting to this trail from the west end of the park, you'll want to catch the Cross Ridge Trail
intersection that will take you back to the main area of the park.