Add all of the ingredients to a cocktail shaker halfway full of ice.
Shake until the liquid is cooled, then strain into a large coupe glass over the pink coconut water ice.
If preferred, garnish with an orange peel and a purple edible flower.
To make the coconut water ice:
Freeze the coconut water in a big spherical mold, such as the Tovolo Ice Sphere Mold, or standard ice cubes. The Tovolo mold takes about 6 hours to freeze.