my neighbor had me build him a system and for payment he bought me a h80i gt, to match the one I put in his system. After a week his failed for some reason. it started doing the exact thing you described. Turned out the pump itself stopped working so the comp was shutting off as a safety measure to keep from overheating. Once I installed a new one it worked just fine again. ...so I basically have installed 3 of these recently. On the way I picked up some tips.
First off, your idle temp is too high unless you are talking about F, instead of Celcius (most of the time people use C for board/cpu temps) If the temps are in celcius then you have a problem. You did use thermal paste correct? Didnt wipe off the factory stuff by accident? fans are all pointing in the same direction? If the temps are in F then you must live where there is snow... and your computer is stuck in it. lol. Usually these coolers run in the 20-25 degree Celsius range at idle, That was true for his 4.4 gig 8core (I forget which exactly, gave him all the paperwork to keep) and my 4.1 gig quad core, as well as most of the posts I went thu to figure out why his stopped working.
second, to get the most out of the cooler, you want the water lines both to the radiator and the actual heatsink to be on the bottom. You can spin the bracket on the heatsink around to make this happen, and the radiator is square so you can mount it in any direction.
On my system there is also a slight temp discrepancy but not as big as yours. It is strange that the corsair link is reading higher. Usually if there is a bad interface, then the mobo cpu reading is higher. Grab the back of the heatsink and try to wiggle it. Does it move at all or is it fast to the mobo? If you install the heatsink as it tells you to for the amd then the back plate on the bottom of the mobo usually is not tight enough, and it wiggles a bit. You have to macgyver it using spacers to get it tight. I forget exactly what I did, but on both installs it was loose when I did exactly what was printed on the instructions.
As for the bsod, if everything I said above checks out and it still keeps doing it, I would be surprised. But if it does its probably not related to the cooler. Seeing your temps tho, I'm betting it is.