I have hunted practically every SE USA state, including Ga. Short story ..... my expereinces since 1974 hunting across the SE USA, I think that you will find that your best bet will be to locate a reputable "hunting club" of like minded folks that has access to decent game habitat and join up with them.
As far as what guns? You can get by with a decent shotgun and a decent center fire 30 cal rifle. A 12 ga. or 20 ga. pump would be a wise choice. A typical bolt action center fire in something like 30.06 Spr. is a great choice for any medium game critter you are likely to hunt there in Ga.
As far as makes/models that will not break the bank and will serve you for a long, long time? Take a look at the Remington 870 in 12 ga. and a Ruger 77. If you need a rifle scope, do not fall into the trap of going for the "Blue Light Special". The cheap scopes are cheap for a reason. Plan to spend at lest $200-$250 on a scope.