Preheat the oven to 325°F. Line the bottom of a 9-inch springform pan with parchment paper and lightly grease the sides.
Place the crunchy chocolate chip cookies in a food processor and pulse into fine crumbs, or seal in a zip-top bag and crush with a rolling pin.
Transfer the cookie crumbs to a bowl and stir in the melted butter until the mixture resembles damp sand and is evenly moistened.
Press the crumb mixture firmly into the bottom of the prepared springform pan, creating an even layer.
Bake the crust for 10 minutes, then remove from the oven and let cool slightly while you prepare the filling.
In a large mixing bowl, beat the softened cream cheese with an electric mixer until smooth and fluffy, with no lumps.
Add the sour cream, granulated sugar, and vanilla bean paste, and mix until smooth, scraping down the sides and bottom of the bowl.
Add the eggs one at a time, mixing on low speed just until each egg is incorporated and the mixture is smooth.
Sprinkle the all-purpose flour over the batter and mix on low just until combined.
Fold in the 1/2 cup mini chocolate chips with a spatula until evenly distributed.
Pour the cheesecake batter over the cooled cookie crust and smooth the top with a spatula.
Tap the pan firmly on the counter a few times to release any air bubbles from the batter.
Bake the cheesecake for 40 to 45 minutes, or until the edges are set and the center still has a slight jiggle.
Turn off the oven, crack the door open slightly, and let the cheesecake cool inside the oven for 1 hour.
Remove the cheesecake from the oven and cool completely at room temperature.
Cover the pan tightly with plastic wrap and refrigerate the cheesecake for at least 4 hours, or overnight, until fully chilled.
Place the remaining 1/4 cup chocolate chips and the vegetable oil or shortening in a microwave-safe bowl and heat in 15-second intervals, stirring between each, until melted and smooth.
Remove the chilled cheesecake from the fridge, release it from the springform pan, and transfer it to a serving plate.
Drizzle the melted chocolate over the top of the cheesecake in thin ribbons.
Garnish the top of the cheesecake with crumbled chocolate chip cookies, slice, and serve.