Since this is a winner-take-all competition, so you can't "subtract" votes. What you could do is have two extra points added to the winner of the judges competition, and an extra point for the winner of the ousted members survey. How this would work...
I set up a survey for the entire club with the exception of the competitors. We can give them one week to participate.
At the end of that, the competitors get their votes for the winner in this thread.
The survey winner is applied to the vote.
The judges add their two votes.
This should give everyone a chance to participate, but it gives the judges the opportunity to break ties.
An alternate to this is that the judges get only one vote and the game master gets one vote. Since we haven't established an independent game master to this point, that might not work now. (For instance, since you;re the game master and a judge, it doesn't make sense having you as tie breaker). We could do that in the future, though.