Slice off the eyes of the coconuts; drain and save the milk. Gouge out the meat of the coconuts; saving as much milk from that as possible. Combine the brandy, banana liqueur, and all the coconut milk in a blender with 3-4 oz. of crushed ice. Blend at a high speed for 15 seconds. Serve the drink in the two coconut shells.
Serve in a Highball Glass