Our game is sped up by using the stick rule - the player with the black starting desk can stop discussions to bring about voting at any time. I think it's also more exciting this way.
This has been the way we played as well. The problem we ran into after enough time is that you just yell the color you think a near majority would want and then slam the puck and slam it. The people fall in line because they don't have time to coordinate with others and you get your way.
I liked this rule until this became almost every turn.