"Maybe my mind is just all scrambled from the thought of someone wanting to deliberately conceive at Disney World, and not even in an actual hotel."
Given what you just said, the perfect solution popped into my head. There's a suite at the top of Cinderella's Castle. You can't get more "in Disney" than that, and it's a private suite. I imagine it would take quite a bit of leverage to get invited to stay there, but where there's a will and a big enough checkbook, there's always a way.