Too late and it isn't dairy-free, but my cornmeal muffin recipe instructs you to soak the 3/4 cup cornmeal in 1 1/4 cup of milk for about 5 minutes, while you mix the dry ingredients (1 cup flour, 1 1/2 tsp. baking powder, 1/3 cup of sugar, 1 tsp. salt). Then add in an egg and 1/4 cup of oil to the soaked cornmeal, before mixing it into the dry ingredients.
Turns out moist, light and delicious every time. They are my kids' favourite muffins (with 1 cup of blueberries mixed in).
I've done all sorts of variations - buttermilk, sour cream, yogurt in place of part or all of the milk. Adding red chili flakes or jalapenos for southwest flavour is nice. So is adding lemon or lime zest, or thyme or basil.
HTH next time.