Preheat oven to 350 degrees F. Generously butter 12-cup Bundt pan; dust pan with flour.
Stir cake flour and salt in medium bowl to blend.
Beat butter in large bowl until fluffy. Gradually add 2 1/2 cups sugar, beating until well blended. Beat in eggs 1 at a time, then both extracts.
Beat in flour mixture in four additions alternately with 1 cup coconut milk added in 3 additions. Fold in 2 cups shredded coconut. Transfer batter to prepared pan, smooth top.
Bake cake until top is golden brown and tester inserted near center comes out clean, about 1 hour 10 minutes. Cool cake in pan 5 minutes. Turn cake out onto rack, cool completely.
Whisk powdered sugar and remaining 1/4 cup coconut milk in medium bowl to blend. Spoon glaze over cake. Top with additional shredded coconut, if desired.