Grill Baked Skillet Cornbread

Name: Grill-Baked Skillet Cornbread
Ingredients: 2 ears of corn, husks and silk removed; 2 poblano chile peppers; 2 cups medium- or fine-grind cornmeal (10 ounces; 285g); 1 tablespoon sugar; 1 teaspoon baking powder; 1 teaspoon baking soda; 1 teaspoon Diamond Crystal kosher salt; for table salt use half by volume; 1 cup sour cream (about 9 1/2 ounces; 270g); 3/4 cup (180ml) whole milk; 1/4 cup (60ml) vegetable oil; 5 tablespoons melted unsalted butter (about 2 1/2 ounces; 70g), divided; 2 large eggs