Preheat oven to 350°. In a large bowl, combine the flour, cornmeal, sugar, baking powder, baking soda and salt. In a small bowl, whisk the eggs, rice milk, oil and vinegar. Stir into dry ingredients just until moistened; stir in corn.
Transfer to a greased 8x4-in. loaf pan. Bake until top is lightly browned and a toothpick inserted in the center comes out clean, 40-45 minutes. Cool on a wire rack.
Read all ingredient labels for possible gluten content prior to use. Ingredient formulas can change, and production facilities vary among brands. If you're concerned that your brand may contain gluten, contact the company.