Safety 9811. El Tianguis Rolled Taquitos
Start with the rolled taquitos, then add the churros. The menu is compact enough to mix fillings without turning lunch into a research project.
El Tianguis gives the clearest first-party answer on this list: it says the restaurant has no gluten ingredients and describes the operation as entirely gluten-free. The current North Park page lists daily hours from 11am to 9pm.