I've taken that into strong consideration. First I was thinking that the scavenger round could be serpentine, with the guys at the end of the list getting an extra pick. Either that, a second, shorter round that is first come first serve. I have not made up my mind yet.
You could do it as a scramble 24 hour round where people can pick up to ten additional workers/performers during that period. Obviously, it doesn't count till you post it so there would be a time-stamp in case of a dispute over who had someone.