Ham Hash Browns and Broccoli Casserole

Name: Ham Hash Browns and Broccoli Casserole
Ingredients: 32 ounces frozen diced hash brown potatoes, partially thawed; 1 lb cubed ham; 10 ounces frozen chopped broccoli, thawed; 1⁄2 cup finely chopped onion; 1 (10 3/4 ounce) cancondensed low-fat low-sodium cream of broccoli soup (or regular type); 1 (10 3/4 ounce) can condensed tomato soup; 2 cups sharp cheddar cheese (or mild cheddar cheese or combo of both); 1 1⁄4 cups nonfat milk; 1⁄4 teaspoon pepper; 1⁄4 teaspoon salt; 1⁄4 teaspoon paprika; 1⁄2 teaspoon thyme