Arrange an oven rack 5 to 6 inches from the broiler. Heat broiler. Line a rimmed baking sheet with foil. Arrange 2 slices of bread on the prepared sheet and spread each with 1 tablespoon butter. Broil until toasted.
Flip toasted side down, and top with half of the cheese, dividing the bacon and ham between the two bread slices. Sprinkle remaining cheese on top and broil until the cheese is melted and the sandwich filling is warm, 1 to 3 minutes.