I just got back from the Apple Store, and although the Genius Bar employee who met with me didn't know what was wrong with my MacBook (he said it looked pristine inside even though I dumped a glass of water on it a few days ago) he said Apple would take care of it--without charging me a dime.
It's possible the hard drive will have to be replaced (which would mean I would lose some data) but the Apple guy said that was unlikely. Oh, and after the laptop is fixed it'll be shipped directly to our home--early next week. Is that awesome news or what?
(By the way, the Snow White-branded MacBook in the photo above isn't mine--although I do think it's kind of sweet.)
See also: 'Computer says no'