that sucks, I got the RROD on my 360 a couple months ago, they fixed it for free, and now I'm looking to hock it and live with my PSP.
Keep turning it on and leave it on for a while till it overheats. That's how I got mine to do it. It was skipping at first and not playing anything, and it wasn't under warranty anymore. The only thing they'd cover was the RROD so I attempted that.