Hi Robert,
When it shuts down have you checked for an overheating ignition switch? Is the backside of the switch accessible? What about the after-fire fuel solenoid on the bottom of the bowl getting too hot and failing? Be careful checking for any hot wires or the solenoid because they can easily burn your fingers.
The solenoid connector is bad about spreading the pins and create strange shut down problems.
We've been heavily focused on the fuel system, but a hot electrical circuit can create similar problems. Even a main fuse holder and the fuse often get hot, especially with age.
By the way, a fuel filter being full is not a reliable sign of a fuel starvation. I have seen many run at full throttle with a near empty fuel filter. It is a matter of how much fuel the engine is demanding under load that makes the difference.
That brings us to the carburetor. It would be good idea to pull the bowl and remove the float and needle for inspection, then blow through the fuel inlet in case any debris is stuck in there. I have found sediment and debris caught in them that would act like a shutoff valve.
Hope this helps you