Seems you have done a good diagnosis here. Yes, the problem is definitely on your video card and not the board. Here are some troubleshooting tips, descending in the possibility that it is the cause:
- Insufficient power: Make sure all of the contacts on your GPU care clean that goes into the PCI-e x16 slot on your motherboard. It could also mean that your PCI-E power cable is not delivering power from your PSU properly, so check the contacts there. Blow everything out with air and see if that helps. Your PSU might also be failing. try swapping your current PSU with a different one that is known to work well. This actually has been the root of more of my PC problems than I want to admit.
-You burned it: Sometimes when playing some real intensive games, especially with an OC on your GPU you can cause some serious thermal damage to components on the card because of improper cooling. Also, when you play intensive games, a lot of power is passed through the card. Sometimes when this happens certain components on the card will fail because of all the power draw. If the board got hot enough, some solder joints can come loose, which will cause your card not to work. There are methods like "baking your GPU" in the oven which I do NOT recommend if you have a warranty and you have not tried everything else. Watch a video on youtube on how to properly do this is you HAVE TRIED everything else.
-PSU Power Ripple Burn: Sometimes when playing intensive games your PSU can drop in voltage on the 12v rail which is normal to an extent. When the game stops, sometimes if the power supply is old or of low quality, there is a "power surge" of sorts that causes an overvoltage on the 12v rail. While I don't think this is the cause because Corsair is a very good power supply brand, it can happen. If this was the case then I believe your card is toast, my friend.
- Not a cause, but recommendation: Try disassembling your card. Everything, all of it. Repaste your GPU die and put it back together. Sometimes taking something apart and putting it back together magically makes it work again.
Let me know how it goes, losing a GPU sucks, they don't come cheap.