Ha! If I was a tournament official of your club or handicap director or whatever, I would immediately do one of the following:
1. Put the baggers on tournament handicaps when they play.
2. Handicap committee (Under USGA control) has the right at any time, with minimal justification to set a handicap based around what they are shooting and leave it there, fixed for 6 months or one year.
It is really easy to set a tournament handicap and under USGA, the handicap committee has full authority.
Good luck- The Whale