I think it is not a bad idea at all.
You have got a time budget you have to take into account and manage it right away together with the usual game, troops, etc...
It could have been fun i guess.
I see this as a matter of fun more than couraging folks to take their turns faster, but yes it will courage them to speed their games up for sure.
I also believe, if the mathematics is done right, it is not as scary as it looks

The time limit should be calculated properly though.... 10 days is very well and optimum for say 20 rounds per player...But once it is set not 240 hours but 72 hours instead, abuses may come on the table.
At the end, this is an option, if you aree fine join such a game, if not, there are plenty of casuals sitting there
A totally new, different approach, and has the potential, thumbs up Craig25, nice one.
