Each station sees a list on an iPad of what they need to produce. They produce, print a barcode for that item and either ship it or switch the status so that the shipping department can ship it. Quick video at https://vimeo.com/120212697
Or if they have distinct SKUs you can just create a list every day of your Pending items, print that list as a PDF and produce from that.
ShipHero can do some pretty complex stuff, but maybe I'm misunderstanding your flow.