Two options for you Motnot:
1. Maybe the Cheers Bar (it's in the same terminal as the United flights, I forget) may be carrying the game if the NFL bar is too packed. They have the 32 ounce Sam Adams beer glass which is good to have while watching the game.
2. Inspired by Mr. Lion's idea: take Las vegas Limo for 4 bucks to MGM grand or other nearby hotel and maybe find a sports bar there to watch the game.