I understand where you folks are coming from as three trailers and twenty years ago, my wife had the same question. Unfortunately, we couldn't find an RV rental place in Wichita, KS at that time. I'm sure that in FL or GA, you will be able to find a rental RV...probably a motor home. In a number of ways, the camping experience (versus staying in a hotel/motel) will be similar in a motor home as it would in a travel trailer. There will be things to learn about towing a trailer that will be different compared to a motor home; but most of them relate to towing, backing up, and other similar nuances. Maybe others will have suggestions on renting an AS in ATL, but I'm not able to address this question.
In a pinch, I'd go with a rental motor home for a couple of weekends. Also, before making a purchase of any kind (especially an Airstream), I'd recommend hanging around this forum for a while.
All my best,