Another face to face meeting that has a facilitator and no religion is Smart Recovery (I've not attended but have spoken with others who do). They have online also (I've not tried it). They are not as ubiquitous as AA so not sure if you will have access where you are. They definitely have a different slant on disease/recovery.
http://www.smartrecovery.org/
http://www.smartrecovery.org/
Being told you're delusional does not necessarily mean you're mental.