Try the Hall of Presidents or Carousel of Progress for nursing too. It is dark or semi-dark and you get to watch the show while the baby nurses.
I love those two rides! They offer so much... long shows, a/c or heating (depending upon when you're there), a great place to nap, your feet get a rest, etc.
The AK baby center was a God send on a July trip. We were not used to the humidity and we (the parents) thought we would colapse! The A/C room with all the amenities we could need for our DD at our fingertips!! We were in heaven. We really hated leaving!