I suggest either a way to sort games in the "active" tab by the fact that you can play a turn. Perhaps simply always sort the list by that fact.
Alternatively, you could create a new tab called "ready to play" or something. However this would cause games to go back and forth between those tabs ...
I love having a few long-term games where i play a round or two per day; BUt alot of people, myself included, also really like playing in real-time.
I suggest a "fast mode" style game, which would act just like freestyle, except the timeout for next turn is like one minute, and the time per turn ...