Serendipity's Frozen Hot Chocolate

From Epicurious

6 half-ounce pieces of a variety of your favorite chocolates
2 teaspoons storebought hot chocolate mix
1 1/2 tablespoons sugar
1 1/2 cups milk
3 cups ice
Whipped cream
Chocolate shavings

Chop the chocolate into small pieces and place it in the top of a double boiler over simmering water, stirring occasionally until melted. Add the cocoa and sugar, stirring constantly until thoroughly blended. Remove from heat and slowly add 1/2 cup of the milk and stir until smooth. Cool to room temperature.
In a blender place the remaining cup of milk, the room temperature chocolate mixture, and the ice. Blend on high speed until smooth and the consistency of a frozen daiquiri. Pour into a giant goblet and top with whipped cream and chocolate shavings. Enjoy with a spoon or a straw. . . .or both!