Print from Indesign Share for Review

I've seen other users suggest this—I'd really like to see a print option available from right in the Share For Review feature in InDesign.

I like Share for Review because of how quickly I can export a file for clients and have their feedback appear directly in InDesign. But there's no print option available like in Acrobat, and lots of my clients print out my work for proofreading. Because of this I often end up also having to send a PDF, which is tedious when I'm sending batches of 5+ files over, sometimes multiple times a day.