I'm wondering OP do you run multiple monitors?
I've noticed the Nvidia drivers can totally crap out when running multiple monitors, say E: D on one monitor and a film on the other.
I get this with a few other graphically intense games. 560 Ti here. I'll try removng Geforce Experience and see how that goes.
Cheers OP.
Came across this while searching after seeing some Nvidia shadowplay warnings thrown in my event log post-crash. Will give it a try and see what happens.. I have a GTX 660TI/Intel i5 2400k/16GB Ram (and no overheating- I use MSI afterburner to watch temps/loads while playing to figure out why its unstable. Maybe the overlay is conflicting with shadowplay?)