Since there are two repechage matches, should each have 15 judges? This would mean that everyone will get to judge one match, except for one judge who will do both. 13 judges or less would mean that some would miss the repechage stage completely, which could be fine too I guess.
Rounds of 16 could have 11 judges per match. This would mean that everyone would be drafted for three matches, except for one judge again who will do four.
Quarterfinals could have 13 judges per match. 23 judges would be drafted for two matches each, while 6 of them will officiate one match only (these could be the ones still in competition).
Semifinals could again have 15 judges per match. Judges still in competition are fully excluded, leaving 25/26 eligible ones.
Finals opened for everyone.
For the Challenge Trophy (if held), we could be looking to just have 7 judges for each match? Including their quarterfinals, semifinals and finals.