This is kind of cobbled together from several different recipes, but turned out really well (and I think would be even better with a good quality cheddar).
Basic Pie Dough
2 1/2 cups all-purpose flour, (spooned and leveled)
1 teaspoon salt
16 tablespoons cold (2 sticks) unsalted butter, cut into pieces
1/4 to 1/2 cup ice water
In a food processor, combine flour and salt; pulse to combine. Add butter; pulse until mixture resembles coarse meal, with just a few pea-size pieces of butter remaining.
Sprinkle with 1/4 cup ice water. Pulse until dough is crumbly but holds together when squeezed with fingers (if necessary, add up to 1/4 cup more water, 1 tablespoon at a time). To help ensure a flaky crust, do not overprocess.
Transfer half of dough (still crumbly) onto a piece of plastic wrap. Form dough into a disk 3/4 inch thick; wrap tightly in plastic. Refrigerate until firm, at least 1 hour (and up to 3 days). Repeat with remaining dough. (Disks can be frozen, tightly wrapped, up to 3 months. Thaw before using.) Makes 2 disks.
3 lbs tart apples
1/2 cups sugar
2 tablespoons all-purpose flour
1/4 teaspoon salt
1 teaspoon cinnamon
1/4 teaspoon ground nutmeg
1/4 teaspoon ground allspice
2 c shredded sharp cheddar cheese
1. Adjust oven rack to lowest position and heat rimmed baking sheet and oven to 500°F. Remove one piece of dough from refrigerator (if refrigerated longer than 1 hour, let stand at room temperature until malleable).
2. Roll dough on lightly floured work surface or between two large sheets of plastic wrap to 12-inch disk. Transfer dough to pie plate by rolling dough around rolling pin and unrolling over 9 1/2-inch pie plate or by folding dough in quarters, then placing dough point in center of pie plate and unfolding. Working around circumference of pie plate, ease dough into pan corners by gently lifting dough edges with one hand while pressing around pan bottom with other hand. Leave dough that overhangs lip of plate in place; refrigerate dough-lined pie plate.
3. Peel, core and cut apples in half, and in half again width-wise; cut quarters into 1/4-inch slices. In a medium bowl, mix 1/2 cup sugar, flour, salt and spices. Toss dry ingredients with apples. Turn fruit mixture, including juices, into chilled pie shell and mound slightly in center. Scatter cheese over apples.
4. Roll out second piece of dough to 12-inch disk and place over filling. Trim top and bottom edges to 1/2-inch beyond pan lip. Tuck this rim of dough underneath itself so that folded edge is flush with pan lip. Flute edging or press with fork tines to seal. Cut four slits on dough top. If pie dough is very soft, place in freezer for 10 minutes. Brush egg white onto top of crust and sprinkle evenly with remaining 1 tablespoon sugar.
5. Place pie on baking sheet and lower oven temperature to 425°F. Bake until top crust is golden, about 25 minutes. Rotate pie and reduce oven temperature to 375°F; continue baking until juices bubble and crust is deep golden brown, 30-35 minutes longer.
6. Transfer pie to wire rack; cool to room temperature, at least 4 hours. [hahahahaha, I did not wait 4 hours.]
adapted from The Kitchen Sink, Smitten Kitchen, and Moosewood Cookbook