Perhaps Deep South accent? or a thick/strong southerner accent (of Georgia, since it seems that there are two accents there). There´s the Florida/North Georgia accent different than that of North Georgia/Tennessee/North Carolina. Even tough, there are some people that they are "posers", that is, they switch from their drawl at their wish.http://www.godlikeproductions.com/forum ... 643990/pg5
Anyway, I am answering that not by experience, it´s second hand here.
I´ll leave to the natives or more advanced level people now.
Anyway if you refer to that "Georgian accent." it will do.