Preheat oven to 350 degrees.
Fit the pie crust into a 9-inch pie pan. Cover with parchment and weigh down with a pound of dried beans or pie weights. Do people really own pie weights? Anyhow...Bake in the oven for 15 minutes, then remove the beans/weights and bake an additional 10 minutes until the bottom crust is firm.
With a stand or hand mixer, combine the pumpkin puree, maple syrup, and brown sugar until creamy. Beat in the eggs one at a time, then whip in the heavy cream, vanilla, and bourbon. Mix in the cinnamon, ginger, clove, nutmeg, allspice, black pepper, and salt.
Pour the custard into the prepared pie crust. Bake 55-60 minutes until the center is set and an inserted toothpick emerges clean. Set the dish on a wire rack to cool to room temperature, then cover with foil transfer to the freezer for 3 hours or the refrigerator for 6 hours, up to overnight, to chill completely.
When ready to serve, beat the heavy cream, maple syrup, and bourbon to make the whipped cream. Slice the pie and dollop the whip overtop.