I tried to put him in it but he came right out. A few hours later I checked and he was coiled up inside. This AM I checked and he was still in there, and most of the shed was off, except for a piece that is covering his eyes, if the skin was darker he'd look like Zorro.
I'm going to put him in a Rubbermaid tote with some warm/damp towels for a couple of hours tomorrow afternoon and hope that does it.