Don't give up. I know how frustrating it can be to fill out what feels like a thousand applications and not hear back from any, but you have to keep at it. Something will turn up.
Sometimes it's for the better. I remember I got rejected from a lot of positions, but I kept looking, found something with the state that paid more, was more flexible on working around my school schedule, and closer to home. If I had given up, I wouldn't have found it.