Prepare stuffing mixes according to package directions. Meanwhile, in a large bowl, combine soup and milk; set aside. Divide chicken between two greased 13 x 9 inch baking dishes. Sprinkle with pepper. Layer with ham, Swiss cheese, 1 cup cheddar cheese, soup mixture and stuffing. Sprinkle with remaining cheddar cheese.
Cover and freeze one casserole for up to 3 months. Cover and bake the remaining casserole at 350 degrees for 30 minutes. Uncover; bake 10-15 minutes longer or until cheese is melted.
To use frozen casserole: Thaw in the refrigerator overnight. Remove from the refrigerator 30 minutes before baking. Cover and bake at 350 degrees for 45 minutes. Uncover; bake 10-15 minutes longer or until heated through and cheese is melted.