I have a polo bike. As much as I love fixed gear riding a coaster brake works much better for bike games. You don't have to worry about pedal strike when making tight turns and its just plain easier to coordinate chasing down a ball, using a mallet etc. if you are able to coast.

Also I don't know what a Trek Antelope looks like but your you probably want to put the biggest tires you can on the bike, flat bars work best and no cages...just platform pedals.