To make the coconut milk ice cubes, take a standard 16-cube rectangular ice cube tray and pour the canned coconut milk to make 10 cubes (about 1 tablespoon per tray). Make sure to thoroughly shake the can before using. Place this in the freezer.
Wait 8 hours or until the cubes are frozen solid.
Once the cubes are ready, add these to a high speed blender along with the rest of the ingredients (except the whipped cream).
Blend until smooth. Add additional sweetener, if desired.
Pour into a glass and top with vegan whipped cream (optional, but totally needed for a frappuccino)!