Local 10 team redraft.
You can keep one player from your previous years team, which would be your first round pick. All owners who keep are in the bottom half of the 2nd round. All other picks are determined by drawing cards (out of a covered bowl with a slot just big enough to get your hand in). We start with round 20 and work our way back to round 1. Last years finish determines who pulls a card first. If in round 20 you took card 10, you would be the first one to pull a card to see what your pick is in round 19, and so on.
Some guys can get the shaft and some can get pretty lucky and the results are not like you might think. We have done it this way for 15 years and I can't get anyone to change!
Personally, I would like to try auction.