Boyle's Law won't help, and you can't use Charles' Law without knowing the actual temperatures involved. My experience filling tanks, though, tells me it is reasonable for an AL tank to drop 200-300 PSI as it cools.
But everyone who fills tanks regularly knows that, which is why everyone I know (including me) who fills tanks does so by overfilling the tank enough that it will drop to the desired final fill pressure. If you told me that you wanted your AL 80 filled to 3000 and I didn't have time to do a top off when it was cool, I would simply fill it to 3200 or so, thus enabling my customer to get what was requested. If I give you a hot fill at 3000 knowing it is going to drop to 2700, then I am cheating you.