34 degrees will keep a rat 2 or 3 days but don't let it go too long. The fresher the rat the easier it skins.
The secret of skinning a rat in a minute or less is to keep knife work to a miniumn and get plenty of practice.
FYI I've known people who can do 5 rats in a minute. There's a contest held every year down in Cambridge, Maryland, and if you want to see some rat peeling that's the place to be.