There's about 180 miles worth of the Pinhoti Trail hiking in AL. Almost all is very camp friendly. Plenty of opportunity to make 'loops' in the Cheaha area, without doing an out and back or multiple cars.
Or if you have canoes or kayaks there's like 631 miles of the Alabama Scenic River Trail. And that doesn't include the Tallapoosa, which is campable along its entire length.
What about Little River Canyon, or Walls of Jericho, etc? Even the Cohuttas in GA are within your stated driving range.
“I think that when the lies are all told and forgot the truth will be there yet. It dont move about from place to place and it dont change from time to time. You cant corrupt it any more than you can salt salt.” - Cormac McCarthy