This recipe is loosely based on a Sicilian Easter lamb pie, and if you don't have venison, lamb works fine here. This is a great recipe for all that "venison burger" you might have lying around in your freezer, and, while it does takes time to make, the pies will keep for a week in the fridge.
Mix the flours and the salt together in a large bowl. Mix the yeast and the warm water in a cup and let hydrate for 15 minutes. Meanwhile, mix the lard into the flour with your hands until it looks like a coarse meal.
Pour the hydrated yeast into the flour and mix well. Knead for 5 minutes, cover in plastic wrap and let rest 1 hour. Meanwhile, mix all the filling ingredients -- except for the lard -- together in a bowl. Preheat the oven to 450°F.
To make the pies, roll the dough into a rough log and slice off 1/3 of it. Now cut each chunk into thirds, so you have 3 small pieces and 3 large pieces. Take out one of the large pieces and keep the rest covered with a damp cloth.
Roll out the dough into a 6-inch circle about 1/8-inch thick. Use a bowl or large glass to cut a perfect circle. Put some of the filling into the center of the circle, leaving a 1-inch border on all sides. Set that dough onto a baking sheet lined with parchment. Do the same thing with the other 2 larger pieces of dough. When you have all three pies set out, press 1 tablespoon of lard or butter onto the center of the filling of each pie.
To make the tops of the pies, roll out each smaller piece of dough to about the same thickness -- they should be smaller, about 5 inches in diameter. Lay the top on the venison filling.
Now take up the bottom of the larger piece of dough and attach it to the top piece of dough by pinching and crimping it over. Do this all around the pie to seal it. With a very sharp knife slice vents in the top of the pie.
Beat the egg with a little water and paint all the pies with it. Bake in the oven for 25 to 35 minutes, or until they are golden brown. Let the pies rest on a rack for at least 10 minutes before eating. They are good hot, cold or at room temperature.