Time to meet Saran.
I've always been a little vague on just what constituted a shrink-wrapped chick, but I do believe that this is definitely a case of shrink-wrapping.
He/she made absolutely no progress in several hours so I took the egg out to see if there was more dry membrane and was there EVER. Dry, brown membrane FIRMLY stuck to the down.
I moistened it with some warm water and started peeling it away very carefully, ending up with only a thin strand of soft membrane connecting the parts of the shell. As soon as I got him unstuck, he kicked out of the remaining egg and hatched into my hand.
He's back in the incubator, there's still a bit of shell stuck to part of him, but I'm hoping that will come off as he moves around. I'll check him again in another hour or so.
I'm hoping that he's not deformed, either as the cause of his failure to progress or a result of the shrink-wrapping.
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