BIG BAD WOLF: My option would not in anyway shorten the time available to someone if they did not want the round started early for some reason or couldn't make it online that day. They'd be no reason to change the deadline's time for each day either.
grenv's faster proposal wouldn't necessarily require the deadline's time to be change either, but it would shorten the time available for the next move to be made if the deadline's time was kept static instead adjusting it for another full day or days.
I would like having the various things as an option too. I like playing it the way it is timed now just fine. I would like trying it the two ways we've suggested.