Carrot Cake Colada with Whipped Coconut Cream

chilled coconut milk beverage (from a carton, not a can), well-shaken

large ripe banana, peeled, sliced, and frozen

finely chopped ripe pineapple

shredded carrot (about 1 large carrot)

ground cinnamon, nutmeg, and ginger

ice cubes

full fat unsweetened coconut milk, well-chilled

pure vanilla extract

unrefined granulated sugar