Now don't retire the car to daytime driving only just yet. You can always MANUALLY raise the headlights by turning the plastic knob on the back of the headlight motors. I don't think that there is anything wrong with the motors but turning that knob to raise them will let you know as soon as you close the headlights. They will sound like a jackhammer going off under the hood. One thing you'll want to do is unplug the two harnesses that go to the headlight module and plug them back in. It may just be a faulty connection. See below.
Also, unplug and reconnect this connector. It will keep the headlight motors from running too.
The module is a dealer only item new, but you can find it used at places like
Corvette Recycling. New will cost you anywhere from $170-$300. No rhyme or reason with the dealerships. One other thing, have you tried turning on the twilight option and seeing what the buckets do??
I was a 0311 with 3rd BATT, 1st MARDIV. I was supposed to be in Lebanon in October of 1983 when 241 of our brothers were killed by two suicide truck bombers. I, but for the grace of God along with 11 others were sent to barracks duty somewhere else and missed that event. That has always left a bad taste in my mouth and to this day, I still get pissed when I think about it. God rest their souls.