[cabiness42]

Thanks for everyone's tips.

I ended up doing some simple trial and error, and got this far:

1) Everybody starts on the button exactly once
2) Everybody starts in the big blind exactly once
3) Everybody starts with each player on his/her immediate right at least once
4) Everybody starts with each player on his/her immediate left at least once


Some players do start in other positions more than once, and are the same distance from other players more than once, but I figure that those four criteria I listed are the most important for fairness.