@sembry
You asked your question some time ago, so I'd be really interested to hear your experience! So please do come back and share what you learned!
There were a couple different ways I achieved this when I was teaching. Sometimes I elected to use Collaborations. I assigned a collaboration to a group, or an individual student, and I was able to view every transaction on the google doc, as well as have students submit them to the assignment.
In other times I had students create a google doc and submit it either directly from Google Drive or as a URL. @jperkins did a great short post on Grade a Google Doc using SpeedGrader. He would have more expertise in accessing the history than I would, so hopefully he will add his experience!
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