Preheat oven to 350 degrees
Cut muffins in half
Brush butter over muffins and place in preheated oven until toasted.
Mix eggs, milk, sour cream, salt, pepper. Pour into a casserole pan or jumbo muffin pan. Bake for 20 - 25 minutes until eggs are firm.
If using casserole pan, cut eggs into desired size. Assemble sandwiches with egg, a slice of ham, and a slice of cheese.
Wrap each sandwich with plastic wrap or divide with deli paper so that the muffins do not stick together when frozen.
Place in the freezer. Store up to 3 months.