I haven't really been on the AT other than when it intersects with the BMT, which I've done most of the Ga section of, but as far as terrain and whatnot I don't think you'll have any trouble finding somewhere to hang. The BMT runs through the same areas and I've never had a hard time finding a good spot to hang. I've even managed to get away with using my stock 42" tree straps.
If you're really worried though, bring a pad and you can go to ground if necessary. But I don't think it'll be necessary.