I'm pretty ambivalent about religion, so I'm going to focus on the family side of things.

I think I remember you saying your parents wanted you to attend group to instill values. Well, what better people to teach you values than them? Would you be happier spending the time participating in a family board game night (as one example) rather than be stuck in your group? If so, suggest it. Parents aren't around forever, and while it may be a little awkward in the beginning, I think that as an older adult you might appreciate having spent the extra time with them. They'll probably be flattered that you want to spend time with them, and it'll feel less like they need to worry about you. You worry less about the snake cuddled up on your lap than you do the snake trying to sneak away into the couch, you know?

I think it'd be a good compromise because you'd at least be home with access to your pets and quads. Besides, if your parents get busy, game night gets cancelled, and you still probably won't have to go to group!