As to the case: Haven't seen one, so i can't contribute any experience. But i suppose the PSU will be louder than anything inside, so you even might get away with intel stock cooler on the T-CPU.
It's okay, actually. It'll be on the desk so I want to be a bit careful, but worst case I can rip it out for a TinyPSU.
I found a couple of pics that show the original configuration of the EZ65. The original motherboard is bigger than a miniITX one, with miniITX standard boards going right against the back of the case (under the PSU, to make sure the back connectors stick out of the back of the case, of course). The second photo doesn't have the PSU installed. On the first one, you can see how small it is.
Downscaling depends, so the sure path would be going with a 27" full HD or even a 32" LCD-TV.
No, because I want to use it as a computer monitor as well