Hi Hank,
I recently overcame a problem that had similar symptoms (sooty plug & hesitation). In the end, it was a combnation of a bad float needle and a leaking choke plunger. Granted, your Amals & mine are different but it sounds like intermittant richness of some kind.
The first thing I did though, was to SWAP CARBS. When I did that, I moved the problem from one cylinder to the other and ruled out lots of other potential problems.
Good luck!
GCoastDave