Preheat oven to 425 degrees F. Spray a full-size baking sheet (or two half sheets) with nonstick cooking spray; set aside.
Rinse and pat shrimp dry with paper towels; set aside.
In a mixing bowl, combine coconut flakes, breadcrumbs, flour, salt and pepper. In a separate bowl, whisk together eggs.
Dip each piece of shrimp in egg, coat in coconut mixture, and place on the prepared baking sheet. Continue until each piece of shrimp is coated then spray shrimp generously with nonstick cooking spray.
Bake for 10 minutes, then remove from the oven, flip shrimp over and bake for an additional 6-8 minutes or until lightly golden brown.