How Do You Hang A Large, Unframed Mirror Without Using Glue?
We had a mirror like the one you describe in our house when I was a kid many years ago. It was mounted exclusively by the bolts through those holes. The bolts had a decorative heads, round, slightly domed and silver or chrome finish. Because the wall it was mounted on was an unfinished storage space on the other side I often observed that the builder had built a substantial 2X4 frame behind the wall to support it.
1/4″ thick sounds pretty good. Building a frame around it will be more secure than using the holes… It really depends on how much risk you are willing to take. If you don’t want to make any holes in the wall, there are poles which you can tighten between floor and ceiling, which would give you something to attach to. I’ve seen them in Ikea. If you find a cieling joist and make it nice and tight, it can be a pretty strong system. You could make some kind of easel from 2x4s (substitute nicer looking materials if you like, of course) and stick it in a corner. Three 6′ 2×4 legs, drill a hole through the top of all three and put a bolt through, put a lock nut on the bolt without tightening. Permanently attach (nail/screw) a 3′ 2×4 to the external two legs about 1′ from the bottom…