If you don't drink, More power and respect to you man. Obviously you value your healthy body above all else, and you should not let women change that just so you have the chance of getting sex from them.
I don't really drink. don't smoke, don't do any drugs, besides the occasional drink at parties, and I have had no problems with women. My gf likes to drink, but does not spend "tons of money" on alcohol like you put it, nor depends on it for happiness. She really only drinks when she goes out, and it's more of a taste thing, not to get drunk.
Most girls will not care whether you drink or not, don't let it deter you.