Preheat the oven to 350°F. Grease two 9-inch round cake pans, line the bottoms with parchment rounds, and lightly flour the sides.
Bloom the cocoa: In a heatproof bowl, whisk the hot coffee into the cocoa powder until a smooth, glossy paste forms. Let stand 5 minutes to cool slightly.
In a large mixing bowl, whisk together the flour, baking powder, baking soda, salt, and cinnamon until evenly combined.
In a separate bowl, whisk the granulated sugar, brown sugar, and eggs for 45–60 seconds until slightly thickened and lighter. Whisk in the oil, vanilla, and sour cream until smooth.
Whisk the cocoa-coffee paste into the egg mixture until uniform. Add the dry ingredients in two additions, alternating with the milk, folding gently with a spatula and stopping as soon as no dry streaks remain.
Divide the batter evenly between the prepared pans and tap each pan firmly on the counter to release air bubbles.
Bake 28–33 minutes, or until the centers spring back and a toothpick comes out with a few moist crumbs. Cool in pans 10 minutes, then turn out onto racks and cool completely.
Make the frosting: In a stand mixer with the paddle (or with a hand mixer), beat the butter on medium-high until pale and fluffy, 2–3 minutes. Beat in the peanut butter for 1 minute more. Add half the powdered sugar and mix on low to combine. Add vanilla and half the cream; beat on medium until smooth. Add remaining sugar and cream, then whip 1–2 minutes until light. Adjust with a splash more cream for spreadability and a pinch of salt to balance sweetness.
Level the cake layers if domed. For extra drama, optionally split each layer horizontally to make 4 thinner layers. Place the first layer on a board and spread an even layer of frosting (about 3/4 cup) to the edges. Repeat with remaining layer(s).
Apply a thin crumb coat over the top and sides and chill the cake for 15 minutes to set. Finish with a thicker, smooth coat of frosting and chill 10 minutes while you prepare the ganache.
Ganache drip: Heat the cream in a small saucepan until steaming (do not boil). Pour over the chopped chocolate and corn syrup in a bowl. Let sit 2 minutes, then stir from the center outward until silky. Cool 10–15 minutes until slightly thickened but still pourable.
Spoon or bottle the ganache around the top edge to create drips, then spread a thin layer over the center. Pipe any remaining frosting in swirls on top and finish with chopped mini peanut butter cups. Chill 10 minutes to set before slicing.