Pour 3 inches of oil into a very deep pot (you need at least 3 inches of pot above oil to prevent splattering) and heat to 325˚ (drop a teaspoon of batter into oil; if it quickly browns and floats to the surface, the oil’s hot enough). Meanwhile, in a mixing bowl, combine flour, ice water, salt, and pepper, and stir until just mixed; don’t overmix (some small lumps will remain). Working quickly and using tongs or chopsticks, dip vegetables one at a time into batter, let excess drip off, and then carefully lower into hot oil. Cook in batches, turning occasionally, 2–3 minutes or until golden. Transfer to prepared baking sheet to drain.