That's one of the reasons I got another snake
I won't re-freeze mine. I try the other snakes and depending on size, lizards. If no one else takes it, I chuck it into the garden. I've only had to do it twice though, once with an adult mouse and once with a fuzzy. I surely thought my breeder male gecko could eat a fuzzy, but no. The dragons wouldn't touch the fuzzy either.
That was my one and only time trying to feed my lizards a fuzzy.