Combine all of the ingredients in a high-speed blender, and blend until completely smooth. (The ice helps keep the ingredients cold.) Pour the mixture into a nut milk bag and strain into a large bowl, gently squeezing all of the liquid out of the bag. Discard the pulp or save for another use. (Perhaps it could be used for a grain-free cracker?)
Pour into two glasses and serve immediately.
*For best digestion, soak raw almonds for 8-12 hours in the fridge, then drain and rinse well. I don't always do this myself, if I'm in a hurry, but they do taste better this way and blend easier, too.