Same ish driving time if you wanted to hit the AT approach trail.Not the question you asked, but something to look at is Eagle Rock Loop in Arkansas if you want some more 'intense' hiking off the beaten path a bit.
It's a 30 mile loop that takes 2-3 days to complete.
Agreed on all of the above.More central but there is Indian Creek Reservoir Loop near Woodworth. It is a 3.5 loop. Not a difficult trail, good reviews in general.
Wild Azelea is also near Woodworth. I hiked (backpacked) the entire trail (Around 25 miles) a few years back and enjoyed it. It is point to point so we had two vehicles.
Eagle Rock was a great trail, it is the closest trail that is in what I would consider mountains from where I live.
Not very many great choices in our area, I walk the Atchafalaya levee for exercise.