Coconut Lime Sherbet

In food processor, blend 1 tbsp lime zest, 1 c sugar, and 1/8 tsp salt. While going, add 2/3 c lime juice and 1 1/2 c water and process until sugar dissolves. Cover; chill in freezer 40-60 min (don't freeze). In mixing bowl, whip 2/3 c cream til soft, then add chilled juice. Add 1 can coconut milk. Process in an ice cream freezer according to manufacturer's directions.