Actually, a catholic social justice argument can be made along with using VII's Dignitas Humanae to show that a catholic institution can (and should) support PPACA and offer benefit programs that offer birth control options.  The tired, old meme that folks who work there know it is against catholic beliefs, so why complain is ridiculous and groundless.  People choose to work at institutions for many reasons - this generalization rejects a key core of catholic social justice - the dignity of the human person.
http://www.motherjones.com/politics/2012/02/controversial-obama-birth-control-rule-already-law
Key:  
DePaul University, the largest Roman Catholic university in America, added birth control coverage to its plans after receiving an EEOC complaint several years ago.