That sounds peculiarly similar to my situation a couple months ago. I was playing a game (not Witcher 3, but equally as GPU intensive) for about an hour and stepped out of my room for a moment. When I came back in, the computer was shutdown and would not boot up anymore.
Fans would spin for a second after hitting power button and then stop.
I tried a new power supply, and unfortunately had the same issue.
Then I pulled the graphics card, also a GTX970, and the system booted up OK on internal graphics from CPU. Plugged the GTX970 back in and system did not boot.
Apparently something died or shorted on the GTX970 and the power supply was saving itself by shutting itself down.
I had to RMA the GTX970. Took about a week to turn-around and get a warranty replacement.
It's possible you have the same issue, but the only way to tell is to start taking components out that might be shorting the power supply, preventing it from turning all the voltage rails on.