I'm afraid I have to swim in the other lane & just say "don't do this"- it goes against food safety rules and also quality. Re-frozen rodents are gross!
"Germs" don't die in the freezer, they are dormant and grow as the temperature gets more favorable...therefore, you want to keep food (yours or the
snake's) as cold as possible right up until you need to thaw it, then thaw as quickly as possible. If you thaw it and re-freeze it, not only does it get mushy
in texture (& likely to fall apart when re-thawed) but you also just gave it LOTS more germs that might make your snake sick. Remember, even if you
get away with some faulty food techniques with YOUR meat, you also COOK it, & that's going to kill the pathogens so you don't hurl your dinner. Your
unfortunate snake, on the other hand, it going to be eating it raw, in all it's putrid glory.
When I lived in the desert, any "leftover" rodents got tossed to grateful coyotes or buzzards. Never refrigerated or re-frozen & fed to my snakes, never.