[rufus]

[ QUOTE ]
Well, I'm pretty certain that I can't achieve fairness both in relation to the button and in relation to the other players. I figure the latter is more important, since position in relation to the button changes every hand but position in relation to the other players is fixed throughout the tournament.

[/ QUOTE ]

You can just high-card for the button on each SNG anyway....

If the number of players were prime, then you could assign a number to each player and step through increments:
1 2 3 4 5 6 7
1 3 5 7 2 4 6
1 4 7 3 6 2 5
and so on.

it's very easy to see that this will lead to a different 'local 3-some' each round. Since 8 is not prime, that won't quite work there. I like pococurante's suggestion of cutting/drawing lots for position each time around.