I have made some minimal progress on this issue. I disassembled the carburetor and cleaned out the main and pilot jets, cleaned the float valve seat, and just generally sprayed the inside of the carburetor out. Everything looked clean and in good shape, and no gunk or varnish or anything came out.
I also discovered why, sometimes, there's a slight smell of gasoline when the tractor is running: The fuel pump diaphragm has dried out, and sometimes leaked a little fuel. However, after disassembling it to correct this, the gasket broke, so now it sprays a LOT of fuel. Since I'd rather not die in tractor fire, I ended up installing a low pressure electric fuel pump. On the positive side, the tractor now fires up almost instantly, since there's instantaneous fuel pressure to the carburetor. On the negative side, my tractor sounds like my '71 Nova drag car with a humming electric pump....
I cleaned the points and checked in the distributor cap, everything looked very clean and in good shape. I *think* I've ordered a replacement set of points, condenser, and a new coil that should all work from NAPA; we will see. It still doesn't feel like an ignition problem.
In experimenting more, and comparing the symptoms to prior experience, it feels a lot like an engine does that doesn't get enough fuel from the accelerator pump when the throttle is opened. It feels fuel starved, I think, when the throttle is opened. I think the slightly sooty exhaust and black plugs are from extended idle-rpm operation, and may be misleading as the actual problem (Since it doesn't like to run at rpm above idle very much, until it has been slowly worked up to it over 30 seconds or so.)