Preheat like you mean it. Set the oven to 400°F (205°C). Line a sheet pan with parchment and lightly oil it so the batter crisps instead of sticking.
Prep your “dogs.” If using plant-based hot dogs, pat dry and cut into 1-inch nuggets. If using carrots, peel, cut into 2.5–3-inch sticks, and par-cook: microwave 2–3 minutes or simmer 4–5 minutes until just tender-crisp. Pat dry. Dry surfaces = batter that clings.
Mix the dry team. In a bowl, whisk cornmeal, flour, sugar, baking powder, baking soda, salt, smoked paprika, garlic powder, and mustard powder.
Mix the wet team. In another bowl, stir plant milk, oil, and apple cider vinegar. Let it sit 1 minute to slightly thicken (hello, faux buttermilk vibes).
Make the batter. Pour wet into dry and fold just until combined. Batter should be thick but scoopable—like cornbread meets pancake. If too thick, add 1–2 tbsp plant milk. If too thin, dust in a bit more cornmeal.
Optional flavor boosts. Fold in jalapeño, scallions, or vegan cheddar. Small amounts keep the coat even.
Coat the pieces. Drop a few “dogs” or carrot sticks into the batter, turn to coat, then lift out with a fork, letting excess drip back. Place on the prepared sheet pan with space between.
Brush for gold. Lightly brush or spray the tops with oil. This is your crispy insurance policy.
Bake. 12–15 minutes, flipping halfway, until puffed and deeply golden. Carrot versions may need up to 18 minutes depending on thickness. If you like extra crunch, broil for 1–2 minutes at the end (watch closely).
Season and serve. Sprinkle with a pinch of salt while hot. Serve with mustard, ketchup, or your signature dip. Warning: they vanish fast.