Well then, I haven't bought a new power supply, but I did install WIN 7 (x64) on a regular hard drive and it is working fine. I then thought about what difference there is between the SSD and the normal Hard Drive.
Diskeeper.
In my old PC, I was running Diskeeper 2011 on my WIN XP install because WIN XP doesn't handle an SSD very well. When I upgraded my PC with new hardware and Win 7, I figured, "Why not continue to run Diskeeper?" It seems Diskeeper may have been the culprit in hanging my system? I am now running my SSD in Win 7 (the same install that has been giving me grief) with Diskeeper disabled and it's now two hours in and no problems.
So far, so good. I will update in a little while and let you all know if it is still stable.