Preheat oven to 350° F. Spray a 8 1/2 x 4 1/2 loaf pan with cooking spray and set aside.
In a large bowl, whisk together the flour, salt, and baking powder. In a small bowl, combine sugar and lime zest. Rub together with your fingers until fragrant. Whisk into the flour mixture. Set aside.
In a separate medium bowl, combine the coconut milk, coconut oil, eggs, lime juice and coconut extract.
Slowly add the wet ingredients to the dry ingredients. Stir until combined. Stir in a 1/2 cup coconut. Pour batter into prepared loaf pan. Sprinkle remaining 3 tablespoons of coconut over the loaf cake. Pound on the counter so the loaf cake is evenly set in the pan.
Bake for 60 minutes, or until toothpick comes out clean. Place the loaf on a cooling rack and cool for 15 minutes. Loosen the sides of the loaf cake with a knife. Carefully remove loaf from pan. Let cool completely on wire rack.
While the loaf cake is cooling, make the lime glaze. In a small bowl, whisk together powdered sugar and lime juice. Drizzle the glaze of the cooled loaf cake. Cut into slices and serve.