I've got a bunch....
Carry ownership's water: Race Scott Merkin around the warning track while carrying two buckets of water. Winner gets to ghostwrite a Merkin MLB.com article.
Hahnspeak Translator: Participants will be shown random Hahn lawyerspeak soundbites and will need to determine what he is trying to hide. Winner will be the White Sox representative at the American Bar Association annual conference.
Lightning in a Bottle: During the next home game rain delay, 20 lucky fans will be given empty bottles and tasked with capturing a 37 year old veteran with "a little left in the tank". Winner gets a signed Mike Jackson vest-style jersey.
Bring your glove Night: With the lack of position player depth in the organization, the White Sox will choose one random gloved fan from the crowd to play a position for 9 innings. Winner gets to wear #28 and will receive a 3 year contract.