Place the cream cheese, sugar, salt and extract in a large bowl or in a food processor. Mix until it is smooth and creamy.
Use a rubber spatula and scrape the sides and bottom of the bowl, then stir in the pumpkin.
Combine the eggs to the mixture one at a time. This is important to get the perfect fluffy texture.
Fold in the flour.
Pour the batter into the springform/crust.
Using heavy duty foil, cover the bottom of the pan, being sure to have no cracks so water cannot break through.
Place the pan for your water bath on the Big Green Egg, put your cheesecake in the center, and then slowly pour the water in, being sure to not get any into the cheesecake or it will not set properly. The key to a perfectly smooth cheesecake is cooking in a water bath, without one the top browns and cracks.
If you happen to have the Big Green Egg's turkey roasting pan, it fits both a 9-inch springform and on an XL Big Green Egg.
Bake at 300 F for 60 minutes.
Remove the cheesecake and water bath from the grill and allow it to sit on the counter for 30 minutes to an hour to slowly drop in temperature
Cool for at least three hours, but ideally overnight.
Serve with whipped cream and enjoy!