Freezing changes and weakens cell structure. That's why its so important to freeze FRESH product, as fast as possible.
As soon as thawing begins, the cells further break down, rapidly.
Freezing and thawing all over again can leave you with a nasty internal mush. You might be lucky, but you may end up with some smelly and busting open kind of rodents.
Doing that with muscle meat is bad enough, but we are talking about WHOLE prey. Organs (already rather mushy) guts, etc.
You get the picture
Can it get done ? Sure. Would I do it ? Nope. I would save whichever are still icecold and stiff, any that move and bend easily and don't feel ice cold anymore, I would have a feeding day with and discard the rest.