If you are able to wait for the very last 1-2 hours that IS an advantage as you can see if your opponent has already moved and how efficient he was. He screwed up on one of your teams and just beat it on the 2nd go? Just send in full 5 char squads and clear everything in 1st try. Your opponent cleared everything 1st try? Clear up the first territories with your strong 5 char squads and then open up excel for the calculations on what you need to get on average in the last battles and use undersized squads.
I don't think there's anything that CG can do regarding this time zone problem.