Preheat oven to 350°F. Spray donut pan with nonstick cooking spray. In a small bowl, whisk together the flour, baking powder, Kosher salt, and pumpkin pie spice.
In a large bowl, whisk together brown sugar, oil, egg, vanilla extract, canned pumpkin, whole milk, and melted butter until combined. Slowly add in dry ingredients and stir until just combined (don’t overmix to avoid a tougher donut).
Spoon batter into a large ziploc bag. Make a small cut in one of the bottom corners of the bag, and then pipe the batter into the donut pan. Lightly tap donut pan against counter to smooth out batter. Bake for 10 – 15 minutes, until a toothpick comes out clean and donuts spring back when gently pressed. Turn donuts out onto cooling rack and allow to cool a bit.
Follow directions for either the sugar coating or maple pumpkin glaze below:
for the Sugar Coating
Combine sugar and pumpkin pie spice. Using a pastry brush, apply a thin layer of butter to each donut. While still “wet”, roll donuts in sugar coating. Use a spoon or fingers to apply more sugar to desired spots if necessary. Serve immediately.
for the Maple Pumpkin Pie Glaze
Mix together all ingredients until fully combined. Start with 1/2 tablespoon of the milk and increase only if necessary to achieve a glaze-like consistency. Dip the tip of each donut in the glaze and move to a wire rack with wax paper or aluminum foil underneath (to catch the drips of glaze). Allow the glaze to harden and then devour.