Sending 25 resumes is one strategy, but there are others. I believe you should find a few companies you like, learn a lot about them, find someone who has a contact at them, and develop a relationship with that contact.

This website has a lot of elements I agree with in terms of trying to get a job: http://corcodilos.com/blog/7633/how-to-tease-a-job-interview-out-of-a-manager