Ok, instead of using the algo to get ourselves a winner how about the very moment you are eliminated you get a vote screen with everyone who is still in the game on it. You give them a number value of who you want to win and give your jury vote to.
for instance if there is 15 people left in a castings game when your eliminated, then you assign everyone a numbered value from 1 to 15 on who you want to win, and we only use the algo in the case of a Tie.