Preheat the oven to 350°F (175°C). Thoroughly grease a 10- to 12-cup Bundt pan with baking spray, making sure to coat all the grooves.
In a medium bowl, whisk together the flour, baking powder, baking soda, and salt. Set aside.
In a large mixing bowl, beat the softened butter and brown sugar on medium speed for about 3 to 4 minutes, until lighter and fluffy.
Add the eggs one at a time, beating well after each addition and scraping down the sides and bottom of the bowl as needed. Mix in the vanilla.
Add the mashed bananas and mix just until incorporated. The batter may look slightly curdled at this point, which is completely fine.
In a measuring cup, stir together the buttermilk and bourbon.
Add the flour mixture to the banana mixture in three additions, alternating with the buttermilk mixture in two additions. Begin and end with the dry ingredients, mixing on low speed just until combined after each addition.
Spoon the batter evenly into the prepared Bundt pan and smooth the top.
Bake for 50 to 60 minutes, or until a wooden skewer inserted into the thickest part of the cake comes out with a few moist crumbs but no wet batter.
Let the cake cool in the pan on a wire rack for 15 minutes. Carefully invert it onto the rack and let it cool completely before adding the ganache.