This is why they pick up the phone to corporate and tell them to not send a truck on a specific day. Its not rocket science, what do you think happens when a Blizzard, Hurricane, Riots or some other event causes the store to be closed? The manager calls corporate and tells them shits fucked do not send a truck nobody will be there to receive them. I've been the manager at retail stores like this and I've done this before, sure the POS stuff does the ordering and you manage the stock level values to ensure they're correct but the actual scheduling of the trucks has some play in them, there is a hotline to call that will route you to almost any contingency.
Also almost certainly there is a mechanism to see what the waybill is for the truck in advance, its just your shit tier management that has no idea what it is doing that is the problem. I would routinely look up the waybill because it would break down what department was getting by total piece count and I'd organize the loading crew based upon these values.