Bring 4 cups water to a boil in a large saucepan. Add shrimp; cook 1 1/2 minutes or until done. Drain and rinse with cold water. Cover and chill.
Combine 1 3/4 cups water and coconut milk in pan, and bring to a boil. Add rice and 1/4 teaspoon salt; cover, reduce heat, and simmer 20 minutes or until liquid is absorbed. Remove from heat, and fluff with a fork. Spoon rice mixture into a large bowl; cool.
Add shrimp, mango, and remaining ingredients to rice mixture, tossing well. Cover and chill.