Whisk together bread flour, cornmeal, baking powder, baking soda, salt, and 1/3 cup sugar in a bowl to evenly distribute the dry ingredients.
In a separate bowl, beat cold cubed butter with 1/2 cup white sugar and honey on medium speed for 3-4 minutes until light and fluffy.
Add egg yolks and vanilla extract to the butter mixture and mix on medium speed until just combined.
Add the dry ingredient mixture to the wet ingredients and mix on low speed just until a cohesive dough forms, about 30-45 seconds, avoiding overmixing.
Divide dough into 10 equal balls, roll each in the 1/3 cup sugar until coated, then place on a parchment-lined baking sheet.
Freeze the coated dough balls for at least 2 hours or overnight to prevent spreading.
Preheat oven to 350°F and line two baking sheets with parchment paper. Arrange frozen dough balls about 2 inches apart on sheets.
Bake for 12-15 minutes until edges are set and centers have slight give; avoid overbaking.
Cool cookies on baking sheets for 5-10 minutes, then transfer to a wire rack to cool completely.