We had something similar to that...it was the Encouragement Chair or something. She always left nice little notes and inspriational cards in our mailboxes, and coordinated the signing of cards and stuff when the situation called for it. I think Sunshine Committee is a cuter name, though.
Some ideas:
*Write welcome-back letters to hand out to sisters at the first meeting after winter break, or spring break. Ours were always just photocopied on cute paper, but they were a nice little touch.
*Give a "DZ Of The Week" award to the DZ you catch doing something really nice or cool for another sister.
I'm trying to think up some more for you! Good luck!