I'd have to say they'll probably refuse to do the alignment.
Even if they do the alignment, it will be basically money wasted.
I'd suggest changing the front tires from side to side and see if the pull goes with it. Could be the front tires.
When I still had my '89 Chevy pickup, it began pulling to the right severely. Turned out a belt was separating in the right front tire. You couldn't feel it in the steering wheel, but it was there.