Controlled Digital Lending

I have been reading the legal arguments undergirding the Controlled Digital Lending initiative (controlleddigitallending.org). The legal arguments are outlined in the white paper here: https://controlleddigitallending.org/whitepaper.

Our library has a DVD collection that has been heavily used over the years for teaching, research, and recreational use. Circulation of that collection has been restricted to members of our campus. There are fewer and fewer DVD players available on campus now and so we are facing significant sunk costs with a collection that may become unusable. Hence, I am wondering whether we could reformat DVDs that we have purchased over the years, put those physical copies in a dark archive (i.e., no longer circulating), and stream the digitized copies one user at a time to verified members of our campus (current students, staff, and faculty). Would the doctrines of 1st sale and Fair Use apply, given that there would be a one-to-one relationship between the physical copy purchased and digital copy loaned, as well as noncommercial use?