Pertronix II users

Yes...but. IF the coil is overheating (engine runs OK at start, then starts fussing the OP says), a ballast might help. IF the engine runs OK for twice as long as it did? That would tell you the coil may well be overheating.

Re:
This sounds like a case of "90% of carburetor problems are the ignition."

Sounds reasonable.

The plug-gap-changing carb-swapping merry-go-round is not likely helpful...and very possibly going to lead to some other problems.