Set a large pot of water to boil for the water bath before getting started with the filling.
In the bowl of a stand mixer fitted with the paddle attachment, or in a large mixing bowl using a handheld mixer, beat the cream cheese on low-medium speed until smooth. Add the sour cream and mix until fully combined. Add the granulated sugar and cocoa powder and mix until well combined, then mix in the red food coloring and vanilla extract until fully combined, stopping to scrape down the sides of the bowl as needed.
In a separate small mixing bowl, lightly beat the eggs. Add the beaten eggs to the mixing bowl with the cheesecake filling and mix on low speed until just combined. Use a rubber spatula to turn the filling a few times to make sure everything is fully mixed together. Set aside.
Wrap the springform pan with the pre-baked Oreo crust in aluminum foil, then place into a large oven bag. Fold the oven bag down the sides of the springform pan.
Pour the cheesecake filling into the springform pan and smooth it out into one even layer. Tap the pan on the counter a couple of times to bring any air bubbles to the top, then use a toothpick or skewer to remove any large air bubbles and smooth them out.
Carefully place the wrapped springform pan into a large roasting pan. Slowly add the boiling water you started before the filling into the roasting pan until it is about 1-inch deep.
Transfer the roasting pan with the cheesecake to the oven and bake at 325°F (163°C) for 60 to 65 minutes or until the edges of the cheesecake are set and the center is still slightly jiggly. Turn the oven off, crack the oven door slightly, and allow the cheesecake to cool in the warm oven for 1 hour.
After the cheesecake has cooled for 1 hour in the oven, remove it from the oven and transfer to a wire rack to cool completely. Once cooled, cover tightly and transfer to the refrigerator to chill for 5 to 6 hours or overnight.
Run a thin knife around the outside of the cheesecake to loosen it from the pan, carefully release the springform pan, then slice into pieces, serve, and enjoy!