In a medium bowl, beat the eggs. Add flour to a medium bowl, and combine the Panko and coconut together into another bowl. Dip the shrimp into the flour, then the eggs and then dredge the shrimp in the panko/coconut mixture; pressing gently to adhere. Set aside and repeat the process with the remaining shrimp. Add enough oil to cover the bottom of a large skillet. Once the oil is hot, carefully fry the shrimp in batches, do not crowd them. Turn the shrimp after they brown on one side; about 2 minutes and fry for another 1-2 minutes. Remove from the oil and drain on paper towels.