Why is there a problem with the “24 hour move rule”? If someone is having a problem with being able to post 1 turn every other day then they have my heartfelt congratulations that they have a life and should not be entering a tourney that would interfere with said life. How dare you have a life and then want to interfere with my non-life by modifying the tourney rules to suit yourself?
And now for a possible solution.
Keep the “24 hour move rule” initially. Since 1 game round must be completed every 4 days at minimum, mark each round on the day they must be started by(Illustration below). A game that starts on the 1st should have round 2 start on the 5th, round 3 on the 9th, etc. The “24 hour rule” automatically kicks in only if your game is in the middle of a particular round when it’s start date rolls around. So if your game is in R3, G3, UK3, J3, or US3 on the 9th of the month(start of round 3) then the “24 hour rule” kicks in again until your game moves to round 4.
1st- Russia
2nd- Germany
3rd- UK
4th- Japan
5th- US/Russia (Round 2 starts)
6th-Germany
7th- UK
8th- Japan
9th- US/Russia (round 3 starts)
But you must have your opponents approval to break the “24 hour move rule” even if your game is ahead of the time limit. That way you can bank “free” days if your game moves fast but it prevents one person from just stopping the game and burning all of the free days without their opponent agreeing to it. So if you know that you will need a day or 2 or even a week later in the month, you can play quickly early and save up those days that you might need off.
This also allows us to end the games on the 25th(minimum US6) with about a week off for relaxation, extensions, and judgements. That way, once any game reaches the end of round 6 before the 25th of the month, as long as both players agree to it, the rest of the game can be played at their leisure without having to worry about the 24 hour rule.
I would suggest that all games that go to judgement should end on the US turn, though, for the sake of fairness.