Wow. Well out of 600 meetings I'd think you could find ONE that suited you!!
The group I visited had people who'd say, "I'm Katie, and I have a drinking problem" or "I'm Katie and I have the desire to stop drinking" or even "Still Katie, still a drunk". That always got a chuckle from the group.
I can understand your hesitation now that you explained a little more. Why don't you start by trying out those 2 secular meetings and seeing how they go? You might find that those are enough for you... or at least there you'll meet some people and get the numbers of some people you can call or go hang out with in between meetings.