Place 2 candy canes in a plastic bag. Cover bag with a cloth. Use a meat mallet to crush candy canes into powder with some small chunks. Pour crushed candy cane onto a plate.
Pour maple syrup on another plate. Roll the outer edges of 2 martini glasses in the maple syrup. Let any excess drip off. Then, roll the edges in the crushed candy canes.
In a cocktail shaker filled with ice, combine white chocolate liqueur, peppermint vodka, vanilla vodka and half-and-half. Shake vigorously.
Strain into rimmed martini glasses. Garnish with additional candy canes.