I was up late last night and randomly thought of an idea. Since we have several special worlds going on, what about one more special world? One that runs double cycles.
It would be the same as other worlds, except at 4:00am instead of running one cycle, it runs two. So the troops you set to move 8 squares will actually move 16 by the time you are able to see them next! So plan ahead!
Any air strikes/bombardments that one wishes to do would only be done once.