Possible to embed VBA code in a Word document to cause printing of embedded PDFs when document is printed?

Working on a proposal-writing tool in MS Word.  My VBA toolbar assists the user in document creation.  One feature is to embed PDF product data sheets into the Word document as needed.  I've done a lot of research and experimenting and can't find a foolproof way to embed the PDF object in a way that will display each PDF page on a separate Word page.  Word 2016 does a pretty decent job of importing PDFs into Word, but there are reflow issues so it's spotty.  Best I've come up with is tell the document recipient they need to double click on each embedded PDF (icon or first page preview) to open and print it separately from the Word print command.  

Anybody seen or come up with a way to save the customer from having to do that?  Ideally, VBA could programmatically open each embedded PDF object and print it at the same time the customer prints the Word document?  Or we could display a dialog that prompts "this document has embedded PDFs.  Click here to open and print each one" But is there a method to open embedded PDF objects and send them to the printer?

Any ideas would be appreciated!