I've created a few frozen hot chocolates in my day, but this boozy version ranks up there as No. 1-especially if you're a chocolate-peppermint lover. I totally am, especially at this time of year. But if you don't like mint with chocolate, you can add another flavor here and swap out the peppermint. Maybe a coffee liqueur? Maybe a white chocolate liqueur? Maybe even bourbon or spiced rum.
Heat the milk and cream in a saucepan over medium heat, just until the edges are bubbling. Stir in the chopped chocolate and turn off the heat. Stir until the chocolate melts. Remove from the heat and let cool for 10 to 15 minutes.
Stir in the vanilla extract, then stick the pot in the fridge to cool completely, about 45 minutes.
Remove the pot and add the chocolate mixture to a blender. Add the schnapps and 2 cups of ice and blend until smooth and creamy. Pour evenly between 2 glasses and top with whipped cream and crushed peppermints.