I would recommend starting with hardware diagnostics.

I had a machine that would do the solid-color freeze thing before, and it ended up being an issue with the video board (hardware; updating/reinstalling drivers didn't help). From what I remember of my research at the time, those kind of symptoms seem to commonly be symptomatic of a fault in the video hardware.

Freezing while stuck on a single frame, in turn, can often be a symptom of overheating or driver issues, but since you've already covered those 2 bases, I would suspect the hardware itself.