Perhaps a closer look at the aa program might be in order, especially the doctors opinion. Alcoholics of my type don't crave alcohol until we have taken the first drink. The doctor called this the phenomenon of craving which does not occur in ordinary drinkers.
One definition in the big book goes if, when you really want to you cannot quite entirely, OR if when you drink you have little control over the amount you take, you are probably alcoholic.
That was me. I was a periodic drinker because I lacked the control to drink continuously, so I always went overboard and didn't stop until I was too sick to continue. Then I would swear off, because I was so sick and the awful memories, and quite often would find myself drinking again without my conscious thought. There was never a craving to get me started, but I didn't seem to be able to not take the first one. I completely forgot why I swore off.