Sorry. Was in a Missions Conference. I'm back, though.
Just so you know, Driver Verifier does not function in safe mode, hence why you weren't having problems getting DV to run things in Safe Mode (because it wasn't active).
Bleh, it seems like Arc was on to something with the crashdump he saw. The error code that actually caused that crash was a c0000010, which means invalid operation for target device. It means Windows was trying to get the drive to do something, and the drive rejected it because it couldn't understand it. Unfortunately, without a kernel dump for this crash, I cannot figure out anything beyond this. The rest of the crashes are also rather vague without kernel dumps for them (including the manually initiated one you did, which is worthless without its kernel dump).
From what I'm seeing, though, are what appear to be some issues with crosstalk between your drive and your RAM. This means either the RAM is bad, the drive is bad, or the mobo is bad. Hardware tests are not showing up issues in RAM or disk, so I'm getting more and more suspicious of the motherboard. PSU problems can cause this as well, but we should not consider it at this point in time. This is not a driver/software issue, because if you're getting instability problems in Safe Mode as well, you have a hardware problem (or your Windows installation is corrupt and you have to reinstall Windows).
Unfortunately, this does sound like it's going to be a case of hardware swapping, and I'd start with the motherboard first, then drive, then RAM. It sucks having to go this route, but unless there's professionals around that can have the system hands-on in a lab environment, it's very difficult to ascertain bad hardware, especially if hardware tests are coming up short.