That is already possible... Simply go to the head of your games waiting to play, and click on the game time remaining column. It should orgainize all your games by the time remaining before a time out. If the order is from longest to shortest, just click the link again and it will switch to the shortest firsat.

If you want just your backgammon games, you gan play and go to more games of this type, which will take you to the next backgammon game that is closest to timing out :)