Place a slice of ham on each chicken breast. Cut cheese slices into two pieces. Place 1 piece on each ham slice; roll up and secure with a toothpick. Mix egg and 2 tbsp milk; dip each roll in egg mixture. Roll in bread crumbs. Place rolls, seam side down in 13x9x2 baking dish. Heat mushroom soup and 1/2 cup milk. Add white wine. Pour sauce over chicken rolls. Cover baking dish with foil; bake at 350°F for 1 hour. Uncover; sprinkle with paprika. Bake 10 minutes longer to brown bread crumbs.