To satisfy the "disk" condition, would a vinyl record suit your needs?
I know this wasn't in the original ask, but my focus was on what I would be able to do, as far as archival storage, if I had a 3D printer. The assumption being that it's easier for me to have, maintain, and use a 3D printer than it would be for me to have a vinyl press.
How well it worked is a different story. I saw one of the records at Autodesk's Pier9 in their display [1]. But again...I never heard it play.
There was more posts at the time that went into more detail.