Instead of having people vote to death-match or wait for death-match, why don't you change the game up by giving each player a compass to point at the nearest player? So instead of people looking aimlessly they have a direction to head in, this would also eliminate campers because they would need to keep moving to avoid other people.
So maybe initiate something like this on the second night (or in a chest refill) so that the "Career Tributes" who team and camp spawn, have a way of finding other players if necessary.
Just an Idea Guys! Give me your thoughts ideas and opinions!