I was checking out the offcial rules and it appears that you will have to pay to get your cards shipped to you.
FOR MOST BASEBALL CARDS AVAILABLE IN THE GIVEAWAY (I.E., NON-PRIZE BASEBALL CARDS), IN ORDER TO TAKE POSSESSION OF THE BASEBALL CARDS, YOU MUST PAY A SHIPPING AND HANDLING FEE OF $2.92 (USD) FOR THE FIRST BASEBALL CARD AND $0.53 (USD) FOR EACH ADDITIONAL BASEBALL CARD.
Well... crap. I don't have a way to pay really. I should have figured it though. Forive me if this has been discussed elsewhere as I haven't seen anything yet.