It sounds pretty amateurish but . . . .
I heard somewhere, probably in a noisy bar, that, because the sidecar drag tends to steer it in that direction, so you counteract that with a slight bike lean away from the sidecar. I also recall hearing that the sidecar wheel line should meet the axis of the bike about 18' ahead. That doesn't work. Adjusting the toe in seems to increase or decrease the frequency of the front wheel wobble but it doesn't cure it. A passenger in the sidecar helps.
I just replaced the fixed length angled struts with adjustable ones to play with that but haven't done a road test.
I assumed someone out there would have a more scientific approach.