On a lightly floured surface, roll out the Pate Sucrée dough 1/8 inch thick. Fit it into a 9- or 10-inch pie plate. Trim any excess dough, leaving a 1-inch overhang. Fold the overhang under the edge of the pie plate and crimp as desired. Pierce the dough on the bottom of the pie plate all over with a fork. Refrigerate or freeze until firm, about 30 minutes.
Preheat the oven to 400°F (204°C). Line the pastry with parchment and fill with pie weights or dried beans.
Bake for 10 minutes. Remove the weights and parchment and bake until pale golden brown, 5 to 8 minutes more. Transfer the pie plate to a wire rack to cool slightly. Reduce the oven to 375°F (190°C).
In a bowl, sprinkle the peaches with the granulated sugar and the remaining pinch of salt and gently toss. Let stand for 15 minutes.
Spread 2 tablespoons crème fraîche over the bottom of the cooled pie crust and sprinkle with 1/3 of the crumb mixture. Arrange the peaches on the crumbs and spread or dollop the remaining 3 tablespoons crème fraîche on top. Sprinkle with the remaining crumb topping.
Bake until the crème fraîche is bubbling and the crumb topping is golden brown, about 50 minutes. If the edge of the crust begins to brown a little too quickly, fashion a long strip of aluminum foil into a c-shape and slip it around the crust so it hooks onto the edge of the pie plate and covers the crust.
Let the pie cool on a wire rack for at least 20 minutes. Serve warm or at room temperature.