Many types of beer are made with yeast as a main ingredient, I think.
If your cheilosis is caused by yeasties / candida, maybe the ones in your lips are happy to see some friends (in the beer). ;-)
Sometimes we crave more of what is actually making us ill in the first place (for example, foods that people are allergic to).
[I am not implying that you *crave* beer; you are not saying that at all. But it seems to have a very pleasant effect for you - and on millions of others, yes I know! -- maybe it could chemically be reacting to something that is already in your system, like possibly a candida infection. I have no idea, obviously.]
I don't know much about beer, but I think that if you want to drink beer made without yeast, there might be some brands out there - you can look into it.
One thing I do know about -- Please don't limit your social life, don't feel that this girl would not like you if you don't have "perfect" lips. If she liked you the other night, she probably really does like you, and would be glad to hear from you again. I'm sure there are some things about her that aren't perfect, and we've all got various issues and problems we must adjust to.