Maybe the afternoon tea at the Grand Floridian? You order off a menu so you can make it very reasonable as to the money you spend. I've heard great things about it.
This is one of the items. Maybe it could be a late lunch.
Mrs. Potts Tea - For the younger tea lover in your party, we offer a variety of tea sandwiches, tuna salad, ham and cheese, peanut butter and jelly on white bread. We serve our magical dark tea (chocolate milk), followed by a choice of 2 pastries $8.50 per guest