Honestly, I wouldn't risk it, but really, I'm not sure what there is to worry about. Snakes have stomachs of iron, and you can't tell me that they never eat sick rodents in the wild. I think predators are by design pretty impervious to the diseases that afflict their prey, but that is an assumption. I couldn't find anything online about inter-species diseases involving rodents and reptiles, go figure! All I found was diseases all of our animals can give us, and for the record, cats and dogs are far nastier than snakes! Just saying!
This is a question for a genuine herpetologist I think! And a very good question at that! At the very least, ask a vet.