Welcome cardio! There's quite a few options out there depending on where you live. If you're near a larger city, you may have access to stuff like SMART or SOS, both of which are group based and truly non-denominational. Or you may also look into self-empowering types of programs like AVRT instead of group therapy.
I didn't really like the idea of AA to begin with either, but I went to a few meetings anyway just to give it a shot. Turns out it just wasn't for me (for various reasons), but it never hurts to try something new. Just don't give up if a particular method or program doesn't work for you k?