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Another thought on optimizing the game schedule: play for a maximum of 4 weeks, then save the game and submit it for judging.
If the result is obvious, enter it into the table.
If it's not obvious, postpone the game and start a new one, temporarily entering a draw in the table.
The remaining games are played later, when both players have free time. Or, as a last resort, after the online tournament (if the result of the game is critical for determining the standings).
Another option (if the players agree) is to play the remaining game in parallel with another game. TE-Light doesn't start a timer until a move is received, so the game can remain active.
This approach will allow for a more compact schedule, reduce the number of delays, and prevent one pair from holding up the entire group.
Dirty seems to have entered dumb mode. I'm following Cobra's example...