There's the Pinetucky Gun Club and the Tactical Advantage Sportsmans Complex in Augusta both of which offer outdoor muzzle loading:
http://www.wheretoshoot.org/find_ran...04BF6&Option=R
http://www.wheretoshoot.org/find_ran...01FL4&Option=R
http://www.pinetucky.com/
Here's a list of shooting ranges and clubs in Georgia put out by the National Shooting Sports Foundation. There may be more clubs located near you.
http://www.wheretoshoot.org/find_ran...subresults.asp
You can locate their proximity to Augusta by using Google Maps:
www.maps.google.com
The closest SASS clubs to you are in Covington, GA about 2 hours away.
http://www.sassnet.com/clubs/Clubs_l...?state=Georgia
There doesn't seem to be any NMLRA clubs that are located near you:
http://www.nmlra.org/clubs.asp?WhichState=GA