That's not a driver problem or a low RAM problem. That's a hardware issue, and if it's hanging even during a BSOD dump procedure, then it's a pretty serious issue. I suspect the power supply or the CPU is bad, but there's also the chance the hard drive is.
From the looks of it this is a custom PC, yes? Did anyone else build it for you? If you got this from a shop, you should see about them taking a look at the hardware to see what the problem is. They have a lot more tools available to work on it than we do here on this forum.
If you want, we can run through a couple diagnostic tests:
RAM:
Memtest86+ - 7+ passes
CPU:
Prime95 - Torture Test; Blend; overnight (9+ hours)
Drives:
Seatools - All basic tests aside from the
Fix all,
Long generic or the advanced ones.
All of these are included in the
UBCD if you prefer a Live CD environment (which is the best environment to test hardware on). Note that Prime95 currently does not work on the latest version of UBCD due to a bug. Also, please provide us temps/voltages using
HWInfo with
Sensors only option checked. Log two 30-minute instances: one for idle, and one for high load. If you can get the system to crash during high load logging, that's even better. Last, make
sure that when running Prime95 that you check temps during first 30minutes or so to see if temps are stable. Prime95 runs very hot so be sure your cooling can handle it before letting it run extensively.