I was a dispatcher while at school and again after flight school. I gave every Capt my CV and after 3 months hit on the Chief Pilot of Brymon who gave me an interview and job on the Embraer 145 two days later. Go for it, I can't see a better way of getting that first job!
Another effective method I used was to turn up at the airline's HQ suited and booted just before lunchtime with CV and ask if I could have a chat with anyone. They didn't let me past the reception but did take my CV and assure me it would be put on the relevant desk. The next day I was called for an interview that afternoon and started the next day!
I'll hopefully not require the CV anymore having finally settled! Best of luck to you all, you will get that job.
Chug