Maybe you can get some luck on
www.freecycle.org
Look at cities near your area to expand your search; there are some generous people out there; really! Post your need there.
On the other hand, one can try
www.prospect.com where you may attempt to get a loan from a group of people, each pitching in. You suggest the interest rates and they approve or not, and if you have enough people who help, you may get some more cash and be able to get a better car. The lenders make a little cash on the interest but it's one way to get around a bank that says no. For this to work, 1)make your story compelling and 2) make sure you can pay the loan back on the terms agreed (tell them how you will pay it back).
Best of luck and keep your spirits up and stay positive - it makes all the difference!
FreeSpirited1