1. Cover the almonds with water and soak, refrigerated, 6 hours to overnight.
2. Puree the soaked almonds, about 2 cups at a time, with about 3 cups of the water at a time in a blender until all the almonds have been pureed.
3. Pour the almond-water puree into a colander lined with cheesecloth or thin nylon fabric over a bowl. Twist the top of the cloth and squeeze the remaining water.
4. Discard the pulp and mix the remaining ingredients with the almond milk. Serve chilled.