On a lightly floured surface, roll dough to a 1/8-in.-thick circle; transfer to a 9-in. pie plate. Trim crust to 1/2 in. beyond rim of plate; flute edge. Refrigerate 30 minutes. Preheat oven to 425°.
Line crust with a double thickness of foil. Fill with pie weights, dried beans or uncooked rice. Bake on a lower oven rack until edge is golden brown, 20-25 minutes. Remove foil and weights; bake until bottom is golden brown, 3-6 minutes longer. Cool completely on a wire rack.
In a large heavy saucepan, whisk egg yolks, coconut milk, cream, sugar, cornstarch and salt until blended. Bring to a gentle boil over medium heat, whisking constantly. Reduce heat to medium-low; cook 2 minutes longer, whisking vigorously. Remove from heat; stir in vanilla and 1 cup coconut. Immediately transfer to crust.
Press plastic wrap onto surface of filling. Refrigerate until cold, 2 hours.
In a large bowl, beat cream until it begins to thicken. Add confectioners' sugar and vanilla; beat until soft peaks form. Spread over pie. Sprinkle with remaining coconut.
Editor's note: To toast coconut, spread in a 15x10x1-in. baking pan. Bake at 350° until lightly browned, stirring frequently, 5-10 minutes.
Combine 1-1/4 cups all-purpose flour and 1/4 tsp. salt; cut in 1/2 cup cold butter until crumbly. Gradually add 3-5 Tbsp. ice water, tossing with a fork until dough holds together when pressed. Shape into a disk; wrap and refrigerate 1 hour.