I'm going to answer as an alcoholic (the only relevance the faith I grew up in has is that I know what you mean by the question).
You are in AA, and following the programme of AA. That means that you rely on a higher power - a concept of God if you will. Our programme suggests that we rely upon God, and ask him for guidance when we have a problem. If you ask, your answer will come, and that answer might be different from what people around you would say the answer should be. Other human beings, no matter who they are, are finite. God is infinite. In other words: he knows better. It is a matter of asking him, and being willing to listen.
Now, you have a practical problem, and while it is an outside issue and does not belong in an AA meeting or forum, I am going to answer you from a desire to solve your problem. I apologise to those who object. The question is out there (publicly), and I would not be helpful if I shunned answering it (publicly) - especially since I think I have a knowledgeable answer based on church law and not opinion. The following has no relevance to AA, is not based on the programme of AA, and should not be referred to as "I heard in AA that...". It is a personal answer from a personal knowledge of Catholic law and tradition.
You should know that both the bread and the wine are by themselves fully and completely the sacrifice of Christ - both are the entire body of Christ. If you take only the bread, you have taken the communion in full. Theologically speaking, one of both is enough. The reason you may get a different answer from a priest is because the rules of *leading* mass requires them to have both ("communion per intinctionem"). Alcoholic priests however can be relieved of this obligation and be allowed to substitute wine for "mustum" (natural juice - the "natural" is the important part). In other words: the rules of your religion do not force you to drink. Whether you still decide to do so is up to you.
If you wish, you can check this information (or just ask the question) with the church authority where you live. I would suggest the Bishop, who holds the fullness of the sacrament of Holy Orders and is thus competent to decide on the matter.
Thus far a personal, completely non-AA answer, offered person-to-person from a desire to help you with a practical problem you have asked online. I hope that this objective - while theological - information does not offend anyone. I would have sent it as PM, but as the question is on the public pages, I thought it best to answer on the same forum.
I in turn will not be offended should the moderators decide to delete the whole thread