No Video - Shuts Off With Blink Red Light

So I have a PS3 slim I'm trying to get working. The console won't output any video, and after being on for about 30 seconds or so it will beep and the light will change from green to red and start blinking until you push the power button, at which point it will stay red (as it would when it's off). I've tried HDMI and composite, and I can't get any video off of either. If I try resetting the video settings by holding down the power button it will just turn on and and then off after a few seconds but will not beep in between as it should.

I've tried switching out both the power supply and the hard drive with no luck. I plan on heat-gunning the video chips if you guys don't have any suggestions.