The idea here, is that the ballast increases resistance as the RPMs increase over time so the bulb won't blow on an extended ride. Choose a bulb that gets blown after a few seconds of sustained high RPMs, then apply the appropriate ballast. Maybe get a ballast resistor from an old chrysler or chevy and play with the multiple taps. It'll probably have to be in the 1/4 to 1/2 ohm range, or even less if you can find it. It will have to be in the 10 watt range or higher. But this will be a lot of trial and error without knowing what the alternator puts out.
I've seen this method used on some old Honda dirtbike. In order to work properly, the ballast has to be a true ballast, not just a big resistor. A true ballast increases resistance with temperature where the increase in temperature comes from increased current over a sustained period (like cruising at higher speeds). (For testing you can temporarily use a resistor to determine what resistance ballast you need.)
Another method would be to find a ballast and see what bulb works with it.
As I said it's a lot of trial and error and there's no guarantee that there is an easy combination to find.
If you have no luck, then we can get a better idea using a meter and steady power resistor to make some measurements.
Also, I would expect the yellow winding to be in phase with the white winding, but there's no guarantee on that either. Play with connecting the yellow winding with the white winding to see if it raises or lowers the power output.
another issue: If the alternator was meant to be rectified to half-wave only, then using it this way may overheat the alternator windings. The remedy for that is to use a lower wattage bulb and higher resistance ballast.