GM use to take that head lamp switch very seriously with over sized plated self cleaning sliding contacts and an extremely fast acting self resetting circuit breaker.
But since then, someone decided it safer, even in bright sunlight to run the brights at a quarter of the illumination during the day time. And that super head lamp switch was replaced by a cheap point contact relay, with fast blow out fuses that don't reset, with even the BMC involved in some cars.
Surprised with this problem, no one mentioned either the DRL relay or its module as the source of the problem. Maybe Jim can post a circuit diagram of what's in this vehicle.
Yeah, on my made in China toy, DRL come on as soon as the ignition switch is turned on, but can kill them just by barely raising the parking brake a fraction of an inch. So that parking brake switch can also be the problem. With the ignition on, parking brake up a notch, turning on the head lamps in low beams should ignite the head lamps. Providing there isn't a small spec of dirt on the DRL relay contacts.
When driving down dark curvy tree lined Wisconsin county roads, good idea to carry either a candle or a flashlight along, so you can see where you are going.