Set oven to 300°F. In a sauce pan over medium heat add milk and water and bring to a boil. Slowly whisk in cornmeal. Cook, stirring until mixture begins to thicken.
Remove from heat, cover, and bake until creamy, roughly 30 minutes.
Remove from oven and fold in cheddar jack cheese, scallions, green chilies, chili lime rub, and black pepper. Hold hot for service.
