Pre-heat the oven to 350F.
Put one package of the cream cheese, ⅓ cup of white sugar, and cornstarch in the bowl of your stand mixer with paddle attachment and beat on low until creamy, about 3 minutes, scraping the bowl down at least once.
Blend in remaining cream cheese, one packet at a time, scraping down the bowl after each one.
Increase the mixer speed to medium at beat in the remaining 1 ⅓ cups of sugar, vanilla, and coconut flavor. Blend in the eggs, one at a time, beating well after adding each one. Mix in the toasted coconut and coconut milk until completely blended.
Pour cheesecake filling over crust.
Pull out your oven turkey bag and place your cheesecake in the oven bag, pulling the plastic up the sides but not overtop. Put this in the large roasting pan. Fill the roasting pan with hot water that comes up 1” up the sides of the springform, making sure no water gets inside the oven bag.
Bake for 75 minutes to 90 minutes, looking to see when the edges are golden brown and top is golden tan, with only a slight jiggle left in the middle of the cheesecake.
Remove the cheesecake from the water bath, transfer it to a wire rack, and let it cool for 2 hours. Then, leave the cake in the pan and loosely cover with plastic wrap and refrigerate overnight.