Preheat oven to 400 degrees. Grease a deep 12to 2 litre baking dish. Set aside 2 cup of the cheese for the top. Place one third of the cheese on the bottom of the baking dish. Add one third of the crab and one third of the chilies. Repeat, making 3 layers of each. Whisk the half-and-half with the eggs and flour, and slowly pour into the baking dish. Top with the marinara sauce and sprinkle with the reserved cheese. Bake, uncovered, for 1 hour, or until hot and set in center.