Preheat oven to 350°F.
Apple Layer: Spray a 9×9 inch baking pan with oil (just realizing as I am typing this that I never did this when testing the apple version and it turned out fine, hmmmm). Add the apple layer ingredients into the pan and toss to combine. Set aside.
Cheesecake Layer: Use a fork to sort of press and mash the softened cream cheese until easy to work with. Stir in the egg, sugar and vanilla until combined and then use a whisk to mix the rest of the way to allow it to become nice and smooth. Make sure the ingredients are room temperature for the best texture.
Pour or spoon the mixture over top of the apples, gently spreading to cover. It doesn’t have to perfectly cover the apples you can spoon it as much as you can! You can leave it in dollops for more pronounced cheesecake sections dispersed through the dessert.
Cobbler Layer: Combine the cobbler topping layer ingredients (start with the ¾ cup of flour and add more if the mixture is much too wet) and stir to combine until it pulls together somewhat like a dough. Spread the dough in chunks/crumbles over top of the cream cheese layer. (You can form little disks and lay them over top or sprinkle big chunks, just try to keep it in as even of a layer as possible.)
Bake uncovered for about 30-40 minutes or until the apple layer is bubbling and you see nice thick sauce around the edges, the cream cheese and cobbler layers are set and cobbler is golden brown—the center should be set. You can broil for the final two minutes for extra golden brown crunchy top.
Remove from oven and allow to cool, then chill to set for about 1 hour. This is best after chilling to set. You can certainly serve it at room temperature. Serve with a big scoop of vanilla ice cream.