I have a cousin who is 40 years old and unmarried and has complained to me on several occasions that he can't meet any nice girls. To which I replied, then quit trying to meet them at bars! How ludicrous is that? If you want to meet nice girls, you go where they go, and I promise they aren't the ones trying to "hook-up" at closing time. Try Sunday School!
Same thing. If you want to meet non-drinkers, you go where they go. Whether its AA or church or any public hangout where they don't serve alcohol. If you don't want to be alone, and I know it sucks, you may have to get outside of your comfort zone. But at least you won't have to do this by yourself. I think that is the worst thing any of us could do.
My $.02.