For a backgammon tournament with the cube, I would suggest changing the way the tournament finishes. It should finish with a single cube match (perhaps longer) rather than a series of games, or worse yet a series of cube matches.
(hide) If you want to play a game with an opponent of a similar level, you can define a required BKR range for a new game invitation. Then nobody with a BKR outside this range will be able to see/accept it. (Katechka) (show all tips)