I was able to find the answer to my question at the GA department of state website.
The relevant state codes are 10-1-100 and 10-1-101
10-1-100.
Residents of the State of Georgia may purchase rifles and shotguns
in any state contiguous to the State of Georgia, provided such
residents conform to applicable provisions of statutes and
regulations of the United States, of the State of Georgia, and of
the contiguous state in which the purchase is made.
10-1-101.
Residents of any state contiguous to the State of Georgia may
purchase rifles and shotguns in the State of Georgia, provided such
residents conform to applicable provisions of statutes and
regulations of the United States, of the State of Georgia, and of
the contiguous state in which such persons reside.
It looks like I am set as far as rifles and shotguns go.
Still have not found any info on using my old carry permit to escape the background check though.
Thanks,
A