In a large mixing bowl, combine the cream cheese, dark brown sugar, and flour. Beat on low speed until the mixture is smooth and thoroughly blended. Keep the mixer on low to avoid incorporating too much air, which can lead to cracks during baking. Scrape down the sides of the bowl as needed.
Add the sour cream and vanilla extract, mixing on low speed until everything is evenly incorporated.
Add the eggs one at a time, mixing gently after each addition until combined. Scrape the bowl occasionally to ensure that no ingredients remain unmixed along the sides or bottom.
Carefully pour the cheesecake batter over the pecan pie filling, distributing it gently and evenly so the layer beneath stays in place.
Set the springform pan inside a larger baking pan. Pour in enough warm water to reach approximately halfway up the sides of the springform pan, making sure the water stays below the upper edge of the aluminum foil.
Bake for 1 hour and 10 to 15 minutes. The cheesecake should be set around the edges, while the center remains slightly soft.
Once the baking time is complete, turn off the oven and leave the door closed for 30 minutes. The residual heat will allow the cheesecake to finish cooking gently while beginning to cool.
Afterward, open the oven door slightly and let the cheesecake rest inside for another 30 minutes. This gradual cooling helps reduce the risk of cracks forming on the surface.
Remove the cheesecake from the oven and carefully take the pan out of the water bath. Remove the foil and refrigerate the cheesecake for 5 to 6 hours, or preferably overnight, until thoroughly chilled and firm.