In a large bowl, combine flour, sugar, baking powder, and salt, whisking well. Using a pastry blender, cut butter into flour mixture until mixture resembles coarse crumbs. Add white chocolate and crushed peppermint, stirring to combine.
In a liquid-measuring cup, combine cream, vanilla extract, and peppermint extract. Add to flour mixture, stirring until mixture is evenly moist. (If mixture seems dry, add more cream, 1 tablespoon at a time.) Working gently, bring mixture together with hands until a dough forms.
Turn out dough onto a lightly floured surface, and knead gently 4 to 5 times. Roll dough to a ¾-inch thickness. Using a 2-inch round cutter, cut 10 scones, rerolling scraps as needed. Place scones 2 inches apart on prepared baking sheet.
Bake until scones are light golden brown, 18 to 20 minutes.
Serve with Peppermint Cream, if desired.
Recipe by TeaTime Magazine at https://teatimemagazine.com/white-chocolate-peppermint-scones-recipe/