People that don't live and die by the NFL schedule are probably not gonna care about a suicide league
You can still count all the games. If you want to pick the Thursday game your deadline to pick is Thursday. If you want to pick Sunday games you pick those before they start. If you want to pick (or forgot to pick until) Monday you have to pick that game before it begin (if you still have the option to do so with the teams playing). I know you didn't run it like this last year, but this is actually how it was run the very first year, and probably a few more as well. This way you wont be eliminated from the game for forgetting the early game, or your internet connection being down like mine was the last two days.