YOUR hardware shouldn't be the problem - only if something gets too hot. You should read out the temps, especially of your 570 GTX.
BSOD, I think, is often caused by a driver / .dll, I would suspect the soundcard/chip drivers.
After BSOD, there is often a file produced containing information about the crash. That could be helpful. It is called \blablabla\minidump
You can watch it with a program like that:
http://www.nirsoft.net/utils/blue_screen_view.html
Can you reproduce the BSOD while playing SH3 Stock version?
Is your PSU strong enough?