It's farther than your stated driving range, but there are several possible loops involving the
Pinhoti Trail in AL and GA. Multiple loop options are possible particularly in the Cheaha State Park area.
If you're not familiar with the Pinhoti, it's a footpath trail that runs along the southernmost ridge of the appalachian mountain chain. The southern terminus is near Weogufka/Sylacauga AL, at the southernmost mtn that rises above 1000ft elevation. From there it meanders in a generally northeast track for about 335 miles until it connects to the Benton MacKaye Trail near Elijay GA. It's JMO, but the Pinhoti is a too often overlooked trail. It has a lot of solitude and diversity, just what a good hiking trail should.
BTW, there is a reliable shuttle service for the AL portions of the trail, so you need not be bound to loops only. Lookup
Blister Bob on Alatrails for shuttle contact info.
There are maps, elevation profiles, and trailhead descriptions available through links at the alliance site I linked above. Also, I've thru-hiked the trail and I'd be happy to answer questions if you decide to hike it.
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