The power thing isn't really an unraid issue, but we'll still be glad to help. The general support forum is fine for this kind of stuff.
First, unless you really did fry your hard drives, you will be able to read them in any system that can read reiserfs. The easiest way to do that is to set up another machine to temporarily boot unraid and set it up as a server with only unraid data disks. As long as you don't assign any disks to the parity slot, you can read them as disk shares without fear of wiping the contents out. Just make sure you unplug any disks that weren't part of your unraid array.
As to what's going on with your current case, motherboard and PSU, I would go back to the basics to troubleshoot. You say you have a modular supply, so you haven't been unplugging the disk end. Not all modular supplies use the same setup, cables that work on one may not work on another. I think you need to unplug ALL the disk and fan connections, and start over using the new power supply and matching cables with just a single drive, and see if it powers up. If so, add another drive, etc, until you find the culprit. I would pull the unraid USB key and set it aside, just see if you can get the system to give you a boot screen. If you can get all your drives to spin, then put the USB back and let it come up all the way.