Telediagnosis is always difficult

It could be a Power problem (what PSU you got?)
but
I bet it's the GFX card as you said you tested the ram already and
because you also get black screens while viewing the bios.
Can't be corrupt card drivers as you don't use them (they are not even loaded)
when you are only viewing the bios.
Of course it could be the M-board itself but this is very unusual.
The HHD doesn't really have to do anything when you are in the bios.
If the CPU was the problem then I would think you wouldn't get into the Bios at all.
and if it was an overheating problem then it usually didn't start when you are just in Bios
What GFX cards you got?
As I noticed (some customers had it and I also had this myself with the new GFX card)
that a lot of the new 8xxx cards having these problems (but it's not only with Nvidia based cards also Ati is having the same problems:).
Randomly black screens, sometimes white and black (see Richards problems) , freezing PC
(btw I also had this sound loop stuff whenever I heard music or played a game and the broken GFX cards made the PC "freeze" get stuck in the black screen.
And I sometimes wasn't able to even get into the bios as the screen was just black.
Removed the GFX card, plugged it back in and the I was able to see something again on the monitor.
But in the end nothing helped except changing the card.
Would be good if you can test another card in your PC
else it's just speculation