I wasn't trying to be "unfair" about it. I apologize. Have you called the school and sent in an extra LOR or done any application updates? Tell them that you are willing to reject other schools late to go there. I think they are trying to weed out those that will say no from those that will say "YES!"
Try letting them know how much you love them, and they should reciprocate!
I really like Case Western, and I feel it will continue to move up in the rankings. I hope you get in there!