Yep, there certainly is! Check out the Triumph page (www.triumph.co.uk) for RAT info and contact info. They were at the Barber Vintage Festival, Birmingham, AL, in fair numbers on 10/19 thru 10/21.
Atlanta Triumph Ducati has a chapter that meets at the Prince of Wales pub in Atlanta once a month. North Georgia Triumph/Machines in Motion has one in Cumming (Northeast of Atlanta). Freewheeling is not truly a Triumph dealer (you can't have the sign and not have the bikes!). I'm not sure about Augusta.
Heck you can come riding with me, I am no respector of makes, you are on two that is all that matters. I can't speak for the RAT's as a group though. Welcome aboard