I support Roger's idea: The three "best losers" of the first round stay in the race.
Thus only two have to resign and the field is reduced to eight players - a standard bracket for matchplay.
There's no change necessary but the number of players in the successive rounds - 10 - 8 - 4 - 2 players.
Round 1: Bethpage front nine, 9 holes, 5 matches
Round 2: Best of Famous 18 holes, 4 matches.
Semi-final: Congressional 18 holes, 2 matches.
Final: Oakmont 18 holes.
A league might overcook the tourney, given that there was little to no support to this idea.
Let's get it started!