Wow, I was really hoping to wake up to a slew of answers, surely someone knows what to do?
Most of us can tell you what to do if your monitor dies, how to rebuild it, how to interface it with your system, etc etc. This is a really odd problem that you can't seem to capture on film. That's why there are no answers - no one has seen it before.
It's already been suggested that it's some kind of odd refresh issue. And since it only seems to happen on this display device, your immediate options are:
1) different display device
2) different display adapter.
I'm sorry, I wish I could be more helpful, but without being there firsthand to see it, I can only offer basic advice.