MacPro Crashes are certainly to do with my NVIDIA Video Card

So I have been having some serious crash problems of late on my MacPro 4,1 that has been firmware flashed to a 5,1 with an NVIDIA GTX 670 and 4GB of RAM. I have posted about it here and here.

I am running 10.12.2 with 32 GB of 1066 MHz DDR3 and an NVIDIA GeForce GTX 670 4095 MB and I had started getting bad crashes with noise in the image, which I show in a previous post. And it was happening more and more, especially when trying to run Premiere Pro. I had been running the OS X driver instead of the web driver, as it seemed to be more stable, but when I switched to the web driver 367.15.10.25f01 those crashes stopped, though I did get random restarts still, and crashes when I try and run Premiere Pro (which my previous posts show was from the Web Driver).

So the fact that the different drivers have the different crashes to me seems to show that it is for sure the video card that is causing the crashes. Unfortunately I don't really have the money right now for a replacement. Eventually I want to replace this whole rig with a PC (as the 2013 Trashcan MacPro is not a powerful enough machine for what I need) but that would be even more.

Now I currently have Premiere Pro running, but am doubtful it won't crash again soon. And I have run TechTool Pro 12 and it showed my Graphics RAM as being fine. Are there any other tests to see if my video card is for sure failing? I posted at Apple forums, but have gotten no help.

EDIT: Well I was wrong about none of the video noise crashes with the Web Driver. I hadn't had any, but when running Premiere they happen with consistence. I have had 4 of them in less than an hour. Seems like as soon as CUDA cuts in the issue is happened with the web driver. Basically I can't use Adobe (the main use for my machine) or I get the crashes. SHIT!

EDIT 2: Also posted on MacRumors and at least one poster says bad video card.
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