Chill a large mixing bowl along with the beaters from your electric mixer (or whisk attachment of a stand mixer) in the fridge for about 15 minutes until cool.
Remove bowl and beaters from the refrigerator. Pour the whipping cream into the chilled bowl. Beat on high speed until stiff peaks form. Do not overbeat; stop just as the peaks form.
Gently stir in the cream of coconut and sweetened coconut (feel free to toast the coconut if you want a stronger flavor).
Spoon into a freezer safe container, cover, and freeze for at least 4 hours, or overnight.