You can add any number of items to the normal shipping bin, but Chests Anywhere uses a chest UI to let you access the shipping bin contents. Unfortunately the standard chest UI is limited to 32 items. Figure out a way to allow any number of items in the shipping bin.

Fixed in develop for the upcoming release. You can now ship any number of items, though only the first page will be visible in the UI. I may add chest pagination as part of a future separate mod.