I'm not in your area; but I do benefit from some AS social groups.
Try to find a "social group" not a "therapy group"--the difference being that with group therapy it's more talking about your social problems; with a social group it's just getting together with some other oddballs and either a facilitator or group leader or (in the case of teen groups) a chaperone/mentor type. You can't practice social skills unless you actually, well, practice them. Oh, yeah, with an adult group you're probably going to find parents mixed in with the autistic types; they'll probably be OK. Actually, a lot of them will be quirky too. It's kind of interesting to see somebody come in for a three year old kid who's just been diagnosed and you get the Aspie vibes off them. Heh.
The "drama" type of thing will happen in group therapy but I've never seen it happen in a hang-out or support type group (but then, I've never been at a curebie group; I'm told it happens all the time there and I really wish it wouldn't because can you imagine being a new autism mom and having to listen to that stuff?). I agree, too, that drama doesn't help anybody much. It's embarrassing for everybody involved. Either focus on hanging out in a non-threatening environment, or focus on solving practical problems (the people at my group are forever trying to hash out IEPs, actually). If you want to build social skills, you've got to actually interact with people, and group therapy is SO not a natural environment.