Have print files automatically sent to print shop

Shopify Partner
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I have a print design business and 400+ SKUs in my shop. I am looking for an app that would allow me to link a PDF file to each of my product SKUs so that when an order is placed in my store, the print file is sent to a Dopbox folder where my print/shop fulfillment house can easily get the files that need to be printed for that day's orders. 

It's essentially the same as Printful, but I have my own fulfillment printing/shipping services. Trying to eliminate the task of me collecting PDFs each day and sending them to my fullfillment houses. 


Any feedback appreciated. Many thanks!