Well, my final verdict is in. I'll just update so anyone else can use this information to make their own decision.
I am now 100% convinced that this issue is software related and that there is nothing at all wrong with my hardware. Linux made it a full 12 hours and didn't have a single texture flicker, lock-up, reset, or even a skip in the frame rate. I'm not advocating Ubuntu, but I am making the point that the problem lies somewhere within Windows - whether that be the OS, the drivers, something else? I have no idea, but every issue disappeared with the installation of Ubuntu.
Hopefully someone can do something useful with that information. I'll keep an eye on this thread a bit longer, but my mind is made up.
Warm Regards,
- Chaz