Given the really hard time limit, wouldn't it make more sense to grab everything as quickly as possible and the sort them over a couple months? That requires more storage space but has the advantage of a bounded, easily-calculated maximum time.
Depends how many duplicates there are. If there are eight of each manual, then you are talking about eight times as many boxes. One truckload is now eight truckload, one storage unit is now eight storage units. And now you have to pay for discarding 7/8 of the manuals, which is not free.
