Denver Omelette Hashbrown Casserole

Name: Denver Omelette Hashbrown Casserole
Ingredients: Cooking spray; 1 tablespoon vegetable oil; 2 ( 8 - ounce ) ham steaks , cut into 1/2-inch pieces (about 3 cups); 1 medium yellow onion , chopped (about 1 cup ); 1 medium green bell pepper , chopped (about 1 1/4 cups ); 1 ( 16 - ounce ) package frozen shredded hash browns , thawed; 4 ounces sharp pepper Jack cheese , shredded (about 1 cup); 2 teaspoons kosher salt , divided; 1/2 teaspoon black pepper , divided; 8 large eggs; 1 cup whole milk; 3/4 cup sour cream; 2 teaspoons hot sauce (such as Tabasco ); 2 ounces sharp Cheddar cheese, shredded (about 1/2 cup)