Heat the oven to 375°F. Line a baking sheet with parchment.

Whisk eggs, milk, salt, and pepper. Scramble in a skillet over medium heat until barely set.

Unroll each croissant. Add ham, eggs, and cheese to the wide end.

Roll each one tightly and place it seam-side down. Brush with melted butter.

Bake for 14 to 16 minutes, until golden. Cool completely before wrapping and freezing.

Reheat from frozen in the microwave for 60 to 90 seconds, or thaw overnight and heat for 30 to 45 seconds.