Each time I would try the system would overheat and then crash. The existing (windows) system still appeared to work fine with light loads so I was pretty sure I just needed to get past the install and decided to try one more time.
It was winter at the time, I can't remember if it had snowed recently, but I think it was probably close to 40 degrees F outside. So I hooked up a wired keyboard and mouse, and then plopped the laptop outside on the deck and closed the door with only the keyboard and mouse inside. There was a window which I could see the screen through and start the install.
Sure enough with the natural winter cooling the install completed and I was able to use the laptop for a few more years.