Lightly spread mascarpone on the rim of a martini glass. Place candy canes on a shallow plate. Dip rim into candy canes to coat.
Combine the RumChata®, crème de cacao, schnapps and remaining mascarpone in a cocktail shaker. Fill to the top with ice; cover and shake until cold. Strain into the glass.
Sugar Cookie Martini:
Lightly spread mascarpone on the rim of a martini glass. Place cookies on a shallow plate. Dip rim into cookies to coat.
Combine the vodka, Irish cream, amaretto and remaining mascarpone in a cocktail shaker. Fill to the top with ice; cover and shake until cold. Strain into the glass.