Step 1

For the crust: Preheat the oven to 400˚. Roll the pie dough into a 13-inch circle on a lightly floured surface. Transfer the crust to a 9-inch deep dish pie plate. Tuck the edges of the crust under to be even with the edge of the pie plate and crimp the edges as desired. Place the crust in the refrigerator for 1 hour (or freezer for 30 minutes). Line the inside of the crust with parchment paper, then fill with baking weights or dried beans. Bake for 16 to 18 minutes, until the edges of the crust are very lightly golden. Remove the pie weights and parchment paper, and prick the bottom of the crust with a fork, 6 to 8 times. Return to the oven and bake until the whole crust is golden brown all over, 12 to 14 minutes longer. Let cool to room temperature.

Step 2

For the filling: Whisk together the sugar, cornstarch, flour, and salt in a medium saucepan. Gradually whisk in the coconut milk and whole milk until smooth. Cook over medium heat, whisking frequently, until the mixture boils, 8 to 12 minutes. Boil for 1 minute, stirring constantly, then remove from the heat.

Step 3

Whisk the egg yolks in a small bowl. While whisking, gradually add 1/2 cup of the hot milk mixture into the egg yolks and whisk until well combined. Gradually add this yolk mixture back into the remaining milk mixture in the saucepan. Return to medium heat and cook, whisking constantly, until the mixture just returns to a boil, 1 to 2 minutes. Remove from the heat and immediately stir in the shredded coconut, butter, and vanilla extract, until the butter is completely melted. Transfer the mixture to a large bowl and press plastic wrap directly to the surface. Let cool at room temperature for 1 hour. Pour coconut filling into the prepared pie shell. Press the plastic wrap directly onto the surface and chill until set, about 8 hours.

Step 4

For the topping: Whisk together the heavy cream, sugar, and vanilla extract in a medium bowl until stiff peaks form, 1 to 2 minutes. Spread the whipped cream over the top of the chilled pie. Garnish with toasted coconut chips, if you like.