Hmm. Thing is the plugs look fine. Not wet or fouled. I can get it to keep running a bit if I hold the throttle open. So it's probably not the coils. What else could it be.
Have you verified spark when it happens? Strong and blue? Have you tried to turn the petcock to prime?
Not saying that you couldn't have boiled the gas out of the carbs but it should be as simple as turning it to prime unless the heat is so high that the fuel vaporizes as soon as it gets into the carbs. That would be very unlikely since the inrush of cooler fuel should be able to get things back down below the boiling point.
I'm still a bit concerned about what other things may be getting MUCH hotter. Just seem to me that the engine temp would have to be WAY above normal operating temps if things are getting hot enough to boil and keep on boiling fuel from the carbs.
Anyone else have this happen?