You could use freeze spray (caned air upside-down) or a hair dryer to determine what component is overheating and causing the crash. (It's probably that giant 2W resistor to the left of the NVRAM socket that killed the transistor right below it. Careful, it gets hot enough to burn you!)
Check for +5VDC at the MPU. Also, get it to boot and clear the MPU's audit information out with a red button press on each setting.

Sounds like it is crashing and loosing saved settings when it crashes. Can you confirm this?

Yes, because it may not fail until it gets REALLY hot.

You may want to replace the resistor that gets really hot as well.

That's cool but you may want to also order one of these -35 battery corrosion repair kits from Great Plains Electronics. It contains all of the components that could fail in that area of your board for $4.50

https://www.greatplainselectronics.com/products.asp?cat=42

It could help but maybe barakandl can chime in here. I feel there is something else wrong as those resistors get hot on every single board.

Thanks Quench, I couldn’t remember the other components that are common to fail when the resistor heats up.