A. Do the ground mods, very important.
B. Note the jumper to 120V will LOWER unregulated voltage, which includes solenoids. From pinrepair.com that you saw:
"This change should always be made to jumper the game for 120 volts.This keeps the unregulated voltage (such as the General Illumination) lower, for increased bulb life."
Quoted from mystman12:What should I be checking to ensure the proper amount of power is being delivered to the solenoids? Any parts on the boards or power supply worth replacing?
Do the ground mods first. It's not really easy to measure "power", because the solenoids depend on the on current delivery. The fact that the game runs for a bit fine, and then changes is indicative of a temperature related problem. It could be as simple as ground return(S)...or it still could be something else, even a bad transformer. Just don't be too hasty and start changing parts randomly.