In a shallow bowl whisk together the egg whites and a bit of salt and pepper. In another dish, toss together the panko, coconut flakes and flour.
Holding the shrimp by the tail, dip in the egg mixture, then coat in crumb mixture (pressing to adhere). Place on a baking sheet and continue to coat remaining shrimp.
Fill a heavy pot or wok with 1-2 inches of oil and heat to about 350°F. Carefully place shrimp in (may need to do this in several batches). Once golden, flip and cook other side – total time should be about 6 minutes.
Set to drain on a wire rack.
Notes
Toast the coconut flakes in a dry skillet until lightly golden, shaking pan often. Or bake in oven at 400°F for 5-10 minutes until golden.