Weird. What you're describing sounds like over voltage/over clock or under voltage/under clock issue of your CPU/GPU. When under heavy load, does your computer seem to ratchet itself back? I've had BSOD issues, but they were self induced by under volting or over volting the cores to eek out more performance.
It sounds like when your computer wants to ramp up for really demanding stuff, it tries to protect itself by dropping your cores down to reduce heat and causing the BSOD.
I take it you have an Intel/Nvidia machine? I haven't done a ton of tweaking with it, but by locking your pstate (this tells your cores what to run at and when to drop down if needed) in the highest state possible should fix the problem. I would imagine programs like BAR-EDIT should be able to accomplish the same thing.
I overvolt using AMD Overdrive and Trixx GPU utility. The programs are designed for AMD/APUs so they wouldn't work for intel/Nvidia, but for users with AMD machines, overdrive/trixx my be a viable solution. I've provided the names of a couple programs I know of to modify voltage core settings:
PSCheck
AMD OverDrive
BAR-EDIT
To Jaysnn:
I checked that error out you're getting. Sounds like a drive conflict. You're not using beta drivers or see any duplicate drivers right? You may need to boot into safe and completely remove your graphics driver and scrub your computer to make sure no traces of the driver linger (they tend to and they tend to cause problems). Reload the drivers and see if that works.
You may need to overvolt your CPU as well as the error from what I'm reading sounds like a core dump due to the CPU being limited to it's voltage draw. RAM problems give a different kind of error (Kernel Panic). Depending on your machine, you may be able to up your voltage in the BIOS, or by a third party program (see above). Check to make sure you're running the most recent BIOS firmware as well. When in doubt, call your computer OEM (ESPECIALLY about BIOS updates and how to perform them. If the BIOS flash fails, you may be able to go back at them for repair/RMA)