Preheat oven to 425°F.
Add the flour, cornstarch, brown sugar, cornmeal, baking powder, baking soda and salt to a large bowl, stir to combine.
Add about half of the mixture to a food processor along with the butter, process until the butter is well combined with the dry mixture. Return the mixture to the mixing bowl, stir into the remaining dry ingredients.
Add the heavy cream and beer, mix with a fork until just combined.
Add to a lightly floured surface, press into a rectangle about 1 inch thick.
Cut into 6-8 circles with a biscuit cutter.
Add to a baking dish that has been sprayed with cooking spray.
Brush with melted butter, sprinkle with sea salt.
Bake until the tops are golden brown, 18-20 minutes.
Allow to cool before removing from the baking dish.