"...I am in a sea of AA'ers 24/7 who are going to try to convert me and with no escape hatch...."
You think that's possible, really? I think you are posting more than you did when you were "home."
I have never heard of such a place as you describe you are in. The rehab I was in kept us busy from 6 am til 10 pm with a half hour after meals for quiet time.