I kept drinking because I was an alcoholic, I'm guessing that might be the case for you to tigger? Going to AA meetings is good as others have mentioned, but it's really only a small part of what AA is about. Working the steps, getting a sponsor are the real core of the program. What are your thoughts about step 1 particularly?
You could also look at other ways to supplement your AA program - like spending more time here or maybe even seeing if there is an outpatient rehab program available in your area?