A designated game night thats not mandatory sounds good if people want to bond and get a party/chat it up. Otherwise, games should be finished within a week. Unless it's an emergency and you really care whether your game gets simmed or not, I guess you would be able to contact Azu and your opponent that week to get it handled, but hopefully that doesn't happen as often. And I agree with Sood with the whole don't sign people who aren't going to play (retired like Favre, suspended indefinitely like Burress or Stallworth).
EDIT: Actually, some of these players might be taken out of the game after the first roster update... eh, we'll see.