I would ask the forums at http://sorbacsra.org/ or the visitor tab.
Most hotels are about 15-20 minutes to FATS. A lot of places near I-20/Washington Rd or Riverwatch. These are close to downtown Augusta, chain restaurants, etc. The only time to avoid is the first week of April, there is this little golf tournament going on.
I live close by and have no first hand knowledge of any of these. Now camping (if you are into this) head to Petersburg Campground, 10-15 minutes away and have Bartram trail that goes right by it.
My wife and I do sneak off to Aiken, SC once or twice a year and stay downtown. This is 45 minutes from FATS. Aiken Brewery has some good food.