Open the coconut milk can and loosely strain it so that the thicker cream separates from the liquid. This creamy part will give the ice cream its rich texture. Discard or save the leftover liquid for smoothies. Transfer the coconut cream to a bowl and stir in the stevia until fully mixed.
Pour the sweetened coconut cream into a shallow container for even freezing. Place it in the freezer for about 3–5 hours, or until firm. Using a shallow container helps the mixture freeze faster and makes it easier to break into chunks later. Avoid freezing overnight, as it may become too hard.
Once frozen, break the coconut mixture into pieces and transfer them into a food processor. At first, it will look chalky and crumbly, but keep blending. After a few minutes, the texture will transform into smooth, creamy ice cream that resembles dairy-based versions.
To serve, pour cold Coke Life into a tall glass. Add a few scoops of your homemade coconut ice cream on top. The fizz will rise and mix with the cream, creating a frothy and delicious float. You can also scoop the ice cream into the glass first and then pour the coke over it for more fizz. Serve immediately with a spoon and straw.