In a healthy league, with an active player base, nobody expects to be able to play every tourney, if they are winning.
The whole idea of a RR is to have multiple games that everyone plays. They are gonna take a while. They take a while in every league.
The point here is, if you don't weant to invest the time, then find 3 other players and create a winner-take-all mini-tourney, just as you described it.