Preheat oven to 350°. Prepare stuffing mixes according to package directions. Meanwhile, whisk together soup and milk. , Toss chicken with pepper; divide between 2 greased 13x9-in. baking dishes. Layer with ham, Swiss cheese, 1 cup cheddar cheese, soup mixture and stuffing. Sprinkle with remaining cheddar cheese., Bake, covered, 30 minutes. Uncover; bake until cheese is melted, 10-15 minutes. Freeze option: Cover and freeze unbaked casseroles. To use, partially thaw in refrigerator overnight. Remove from refrigerator 30 minutes before baking. Preheat oven to 350°. Bake, covered, until heated through and a thermometer inserted in center reads 165°, about 45 minutes. Uncover; bake until cheese is melted, 10-15 minutes.