Ingredients. Half gallon 2% low-fat milk. 2 cups semisweet chocolate, chopped. 2 cups peppermint schnapps (more or less to taste). whipped cream, for serving. 12 peppermint stick candy. Instructions. Heat 2 cups of the milk in a medium saucepan over low heat. Add chocolate, stirring constantly, until melted. When the chocolate has melted, increase heat to medium and add the remainder of the milk while whisking rapidly. Do not allow to boil. Serve in small cups fortified with two shots of peppermint schnapps and whipped cream. Add a peppermint stick to stir.