I figured I’d find it eventually, given that the last place I had seen it was in my apartment.
Last night I was doing laundry, when I heard clinking in the washer. Thinking it might be the ring, I dug around inside for awhile, realizing that I’d need to use a wrench to take off a bolt so I could remove the piece blocking the clinking object.
When I went over to where my tools were, I found my ring sitting right next to them.
The clinking object was a quarter.