Dude, its hard enough meeting girls you will want to date, and even then.. they have to want to date you too. I understand that living car free is a choice you made, but perhaps it is a bad one?
What are you going to do if you have kids?

You have to remember, women like stability. THey want to know that as they grow older they are going to be taken care of. They want to be picked up for dates. They want to be driven to fun places. Im sorry, you just can't do everything life has to offer without a car.

Maybe think abotu buying something cheap. Anything... as long as it runs and doesnt look like complete junk. Girls dont really care what you drive, they only care that you drive. Unless it is a Ferrari, its not going to attract any more women than a civic will.

Anyway, best of luck with your quest... but I think I see a car in your future.