There's the Pinetucky Gun Club and the Tactical Advantage Sportsmans Complex in Augusta both of which offer outdoor muzzle loading:
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.
You can locate their proximity to Augusta by using Google Maps:
The closest SASS clubs to you are in Covington, GA about 2 hours away.
There doesn't seem to be any NMLRA clubs that are located near you: