Preheat oven to 350 degrees F. Line a large baking pan with parchment paper.
In a large bowl, whisk together the flour, cocoa powder, baking soda and salt.
In a bowl, cream together butter and sugars until light and fluffy, about 1-2 minutes with an electric mixer.
Add in vanilla extract, peppermint extract, egg; beat again until well combined smooth and creamy; about 30 seconds longer.
Add in dry ingredients and mix on low until just combined and the dough forms. Fold in ¾ cup chocolate chips.
Bake for 10-12 minutes or until edges begins to set and crackle. Remove and allow cookies to cool for 5 minutes on the baking sheet before transferring to a wire rack to cool
Melt the remaining white chocolate chips in the microwave in 30 second intervals. Dip each cooled cookie halfway into the melted chocolate and then place on a parchment lined baking sheet. Sprinkle crushed candy canes on top of melted chocolate. Allow the chocolate to set and enjoy!