Many, if not all, of my BSOD's have been the result of Catalyst Control Center. It took me a week to figure it out, I will never install it again.
CCC is in the top half a percent of the detestable software list, easily. Maybe even the top tenth of a percent.
What you really should do: Install Linux.
What will fix your problem, if you refuse to do the above, but leave you still with a horrible OS:
(stop once you've fixed the problem)
1. Try cgminer or Phoenix. (really, they're better than DiabloMiner anyway)
2. Uninstall any related drivers (all the way) and reinstall them.
3. Test cards one by one.
4. If your cards are good, test slots, one by one.
5. Test your PSU in a different machine, with an equivalent load.
6. Same with motherboard, CPU, and RAM.
7. Test your AC outlet for reversal of voltage.
8. Slam your computer really hard against the ground while balancing a teacup full of double-strength Earl Grey upon your nose and vehemently chanting G-minor cries of vengeance against the Universe if whatever deity of technology you may or may not believe in doesn't make it work right now.
To stop the inevitable questions, of course I know how AC works. I'm curious how many people don't.