Spread a thin, even layer of butter on one side of each piece of bread.
Make a sandwich with the cheese and ham, with the butter on the outside of the sandwich. Place the sandwich in the waffle iron as far away from the hinge as possible (this allows the lid to press down on the sandwich more evenly).
Check the sandwich after 3 minutes. About halfway through, you may need to rotate the sandwich 180 degrees to ensure even pressure and cooking. If you’d like, you can press down on the lid of the waffle iron a bit to compact the sandwich, but do so carefully—the lid could be very hot. Remove the sandwich from the waffle iron when the bread is golden brown and the cheese is melted.
Spread the Maple Cream on the outside of the sandwich. Slice in half diagonally and serve.