Call the Hiker Hostel near Dahlonega, make a reservation for the night, drive up after work and stay there. They will feed you a great breakfast and drive you to Springer, where you will start hiking north. You'll probably want to stay at Hawk Mountain then Gooch Mountain or Gooch Gap (both are ~8 mile days), then get picked up on the third day at Woody Gap (~5 miles?) and go back to your car at the hostel and head home.
It's a very nice hike and not too far from you.
For another great hike, you can park at the Standing Indian Campground trailhead parking area and do the Standing Indian Loop with the AT and a couple of side trails. This is a wonderful 2-night 25 mile loop. SIC is about ten miles west of Franklin, NC, on US 64.
Have fun!