Preheat oven to 375°F. Position a rack in the center.
Fit the pie dough into a 9-inch pie plate and crimp edges. Chill 10 minutes.
Prick the crust with a fork. Bake 10 minutes, then cool slightly.
Toss apple slices with lemon juice, granulated sugar, brown sugar, cinnamon, nutmeg, and salt. Rest 5 minutes.
Whisk sour cream, heavy cream, beaten eggs, vanilla, flour, and melted butter until smooth.
Pile apples into the crust. Pour the cream mixture evenly over the apples.
Bake 35–45 minutes until the center jiggles slightly and the apples are tender. Tent edges if browning fast.
Cool at least 1 hour to set. Slice and serve warm or chilled.