Press the crust mixture into a foil-wrapped springform pan and bake at 325°F for 10 minutes.
Cook the blueberry topping on the stovetop, thicken with cornstarch, and cool completely.
Mix crumble ingredients until clumpy and refrigerate until needed.
Beat cream cheese and sugar smooth, add eggs one at a time, then mix in sour cream, vanilla, and flour.
Bake the filling in a water bath at 325°F for 55 to 65 minutes, then cool gradually in the oven.
Top the cooled cheesecake with blueberry compote and crumble, then bake at 350°F for 15 to 18 minutes.
Refrigerate overnight before slicing and serving.