What are some cheap ways to get from a town just north of Nashville to Los Angeles?

Okay, here's the story: I went to a youth conference in North Carolina and I met a girl from LA. In the true teenage fashion, I fell for her like Gerald Ford getting off an airplane. I'm in love with her, and she with me, and I really want to see her. Any hints on how to save money and get there on as little cash as possible would be greatly appreciated.