Liquor Stores (Junction, Westwood Village, White Center) are usually a pretty good source of boxes.
They’re not the largest, but are very sturdy.
One other thing to note is the tops are usually cut open along three sides, leaving the flaps intact with each other, and effectively creating a “hinge” on the uncut side.
So, in other words, the lids could still be taped down, but the flaps can’t simply be interlocked.
Mike