When starting any SSRI, a benzo should almost always be prescribed because the first 2-3 weeks "can" intensify the anxiety. I say "can" because it doesn't happen to everyone.
When I restarted my Prozac, I made a commitment to stick it out. My doc prescribed Lorazepam and everything kicked in at week 3.
Not a good idea to "self medicate" with benzos.
I don't drink because of the Prozac and to be honest, alcohol is a nervous system depressant so it only makes anxiety worse, anyhow.
You mentioned worry about Lexapro screwing up your brain chems. Alcohol has a better chance of doing that
I would suggest forgetting the alcohol and giving the Lexapro a run. I have a good feeling that you will like it. Lexapro seems to kick in quicker than Prozac, too.