For a few weeks I was getting strange "random restarts" every few days, where I would be doing something (didn't put load on cpu or gpu) and I would get a streak of multi-coloured pixels across the screen followed by a system reboot. I re-formatted and re-installed windows and for the first day everything was working fine.
Then the next day I turn on the computer, it boots into windows (so I can see the desktop) but suddenly I get a multicoloured streak of pixels again on the screen and the system reboots.
When It rebooted, I got a succesful startup beep (so no error while booting) but no video output. Also the fan on the 6850 was running at 100% and keeps running at that until I turn off the pc.
I tried with an XFX 8800gt and I get video on POST but no video after (same 1succesful beep during POST). Same thing happens with my evga 8600GT.
If I plug in the video onboard even when I have the radeon in the PCI-E slot, I get video output but device manager does not see the 6850, and again the fans are running 100%.
I tried both PCI-E slots and get the same thing.
I sent a request in for RMA with Sapphire, but they are taking a long time to get back to me.
Being as you tried 3 cards, and got the same result with each one. I think we can safely say it ISN'T the GPU at fault.
You've also tried two different PCI lanes, pretty safe to say we can rule that out too.
Pixelation and screen tearing followed by a reboot is classic PSU failure symptoms. Is your PSU getting enough ventilation? CoolerMaster aren't known to make the greatest quality PSU's.
Something from Corsair, XFX, Antec or SeaSonic would be recommended.