Nevermind, I figured out a way! Here's what I did.
In another file I use I know that the attachments are already using the rc data fms folder. So I opened up manage database and I looked at the container field. The checkbox for store container data externally is checked, relative to [hosted location]/Files/starter. The radio button for open storage is selected, and the inputed path is Contact_Notes/Attachment.
I replicated the same options for the attachment container field for the database on the test server, and the second I ran the back up I got the rc data fms file and all of my attachments were in the file.