Grease a 9 by 13-inch pan and place the hash browns into the pan. Sprinkle 2 tablespoons of oil over the hash browns. Bake at 425 degrees for 25 minutes. Remove from oven and pour 1/2 of the egg mixture over the hash browns. Put the meat of choice on top of this layer. Sprinkle the other cup of cheese on this layer. Pour the remaining egg mixture on top of this layer. Bake at 350 degrees for 40-50 minutes uncovered, or until the eggs set.