Hey axe0, as far as testing I hope it means that it's a software issue and not a hardware issue. I used Reaper for an hour or more in Windows 7 with no problems. I would think if it's a overheating problem it would have come up, I may be wrong. I would like to understand what the problem IS though just for future reference. I may continue to troubleshoot to see if I can figure it out.
I will be using Windows 10 Pro on the new build but a couple of things will be different. First, I will be getting a new audio interface. The Focusrite Saffire that I have now works great but it's old and uses Firewire and there were no Windows 10 drivers for it so I had to jump though some hoops to get the Windows 7 drivers to work. Second, I will be upgrading Reaper to the new version, this is a paid update so that's why I haven't done it yet. Hopefully all will be well after that.
Thanks for your help!