One thing to keep firmly in mind: these cars worked just fine back in the 1950s as configured by the factory. Fixing a problem by changing some factory setting may seem to fix something, but it's really just misadjusting to compensate for a problem. The result is never as good as getting it running as it should.
I suspect that, for some reason, you are getting incomplete combustion. Since increasing the spark gap seems to fix it, the the problem is most likely ignition. If the car seems to be running well, it's probably not a bad coil or cracked distributor cap or such--that would cause rough running. But maybe too much resistance in the high-voltage wiring could do this. You probably have resistor wires, including the one from the coil to the distributor, resistor plugs, and maybe even resistance in the rotor. These resistances can be around 5000 ohms each. I suggest no more than 10,000 ohms total in that wiring, the entire path from the coil terminal to the spark plug gap.
You might also try a different brand of coil. I've measured a number of them here in my lab, and I've found that most are pretty similar, but occasionally one is significantly different. The standard Lucas coil and Lucas Sport coil have the best characteristics of the ones I've measured. The Bosch "blue" coil is OK too, if you can still find one. The coil must have no more than 3.5 ohms primary resistance.
Probably not the ignition capacitor, but I would replace it on general principles. Also, make sure there is no additional resistance in the primary circuit (no ballast resistor, for example).
That's all I can think of at this moment, but perhaps its enough for you to get the idea.