Gill and I do the Turk Branch trail loop often. It's conveniently located only about 20 minutes from our house (by car), starting at Sugar Hollow. It's the perfect distance for a medium long run, but it's quite difficult, including a lot of elevation for the mileage.
The route begins at Sugar Hollow parking lot, and follows the South fork of the Moormans River. it then takes a right onto the Turk Branch Trail, which climbs steeply to the Blue Ridge Parkway and to Turk Gap. From Turk Gap, it follows the AT southbound (left) back to the Moormans River Road.
The trail has some fantastic views of the Shenandoah Valley, and today it was blanketed by a very thin layer of snow.
Remember that, any time you go to the mountains, you should dress for 5-10 degrees colder: the wind was blowing up on Turk Gap, and it's always much colder than Charlottesville.