In a large mixing bowl, beat the cream cheese and granulated sugar with an electric hand mixer until smooth.
32 ounces cream cheese, 1 1/4 cups granulated sugar
Add the sour cream, heavy cream, and flour, beating until combined and stopping to scrape the bottom and sides of the bowl.
1/2 cup sour cream, 1/4 cup heavy cream, 3 Tablespoons all-purpose flour
On low speed, beat in the vanilla extract and the eggs, one at a time, mixing just until combined. Be sure to pause and scrape the bowl again partway through mixing so the batter gets evenly mixed.
2 teaspoons pure vanilla extract, 4 large eggs
Add a little less than half of the cheesecake batter to the prepared graham cracker crust. Spoon about half of the roasted peaches and juices on top of the cheesecake filling. Sprinkle with all but about 1/2 to 2/3 cup of the crumble topping. Add the remaining cheesecake filling and rap the pan against the counter a few times to remove trapped air bubbles. The pan will be very full (almost to the brim).
Bake in a water bath for 1 hour 10 minutes to 1 hours 20 minutes in a 325°F oven until set around the edges but still jiggly in the center. The easiest, most foolproof approach to a water bath is to nestle your 9-inch springform pan inside a 10-inch cake pan (we don't mess around with wrapping in foil here), then nest both of those into a larger 12-inch cake pan. Transfer to the oven and carefully pour boiling water (or super hot tap water) into the outer ring of the 12-inch cake pan. This easy, foolproof water bath is the best method I have found for achieving great cheesecake results every time without leaks. Alternatively, you CAN bake this without a water bath, but it will be done about 10-15 minutes earlier.
When checking for doneness, a cheesecake should be set around the edges but still have a wobble in the center like a just-set jello. You can also test for doneness with an instant read digital thermometer inserted into the center of your cheesecake. A cheesecake will have an internal temperature of between 145°F and 150°F when it is done.
Once the cheesecake is done, do not remove it from the oven! Instead, turn the oven off and crack the door to let it cool slowly for 30 minutes before removing it to cool the rest of the way at room temperature. Run a thin, sharp paring knife around the edges of the pan to loosen the cheesecake so it doesn't stick to the sides of the pan as it cools. Once the cheesecake has cooled for about 2 hours, you can transfer it to the fridge to chill all the way, at least 4-6 hours or overnight.
To finish the cheesecake, top with the remaining roasted peaches and sprinkle with reserved crumble topping. If you roasted all of your peaches at once on the first day, you can zhuzh it up by warming them in the oven or microwave and tossing them gently to freshen them a bit or just pile them on cold. I like to let my cheesecake sit out for 20-30 minutes to take off the chill so the flavors are more pronounced before serving.