You do know that Apple and other manufacturers have very high end spec'd monitors with MAT displays.
make sure you have an external HD and are backing up your HD then you can get a newer machine and continue where you left off at too.
The bulk of what I'm saying is that I think my eyes have a lot of difficulty adjusting to anti-reflection treatment most monitors use. I have issues with inflammation in my body in general due to a health condition, so I'm more sensitive to these things than most people. Using a mat monitor is biggest part of the problem. The way it diffuses the light seems to play poorly with my eyes. Apple monitors are better because it's not as intense, but they still have anti-reflective treatments on them that reduce the way light reflects, which my eyes seem to pick up on very easily. This doesn't happen with tvs, tablets or phones because they don't use any anti-reflective treatments on their screens. At least, none that seem to give me any issues.Based on your stated aversion to any monitor currently on the market, just go to a second-hand shop or Ebay and find a cheap used monitor that is over 5 years old. They will be quite inexpensive.
Then buy a Mac mini to replace your broken iMac.
Even if I were to get a used monitor, it would have to be a glossy screen like the 2010 imac, which I don't think is something that is easy to come by.