Preheat the oven to 400 degrees F.
In a mixing bowl, combine the flour and salt. Using your hands work in the lard until the mixture resembles coarse crumbs. Add the water, 1 tablespoon at a time. Work the dough until you have a smooth ball. Wrap the dough in plastic wrap and refrigerate for 30 minutes. Remove from the refrigerator and place on a lightly floured surface. Cut the dough in half and roll each ball into a circle about 14 inches in diameter and 1/8-inch thick. Gently fold the circle of dough in half and then in half again so that you can lift it without tearing the dough, and unfold into a 9-inch pie pan. Reserve the other circles for the top of the pie.
In a large saute pan, heat the butter. When the butter is melted, add the onions, peppers, celery, shallots, garlic, salt, cayenne, and black pepper. Saute for 8 minutes, or until the vegetables are golden and wilted. Add the tomatoes and cook for 6 minutes. Add the crawfish tails and parsley. Stirring occasionally, cook for about 4 minutes. Dissolve the flour in the water and add to the pan. Stir for about 2 minutes, or until the mixture thickens. Remove from the heat. Cool for at least 30 minutes.
Pour the cooled filling into the piecrust. Top the filling with the remaining crust and crimp the edges. Place the pie in the center of a cookie sheet and brush with an egg wash. Bake for 45 minutes, or until the edges of the piecrust are golden. Cool for 10 minutes before slicing. Place a slice of the pie in the center of a plate. Garnish with chives, red peppers, and cheese.