Could you not keep the mice and just wear gloves when handling them? Also, you didn't mention in your post, so I am probably stating the obvious, but after the bite, did you immediately wash in some kind of disinfecting solution? BandAid makes a cleansing foam that you use to wash any kind of bite or scrape with. When I've been bitten, I've immediately put that on and never had a problem with infection (though admittedly, I don't have a compromised immune system either).
0.1 Ball Python, 0.1 Creamsicle Cornsnakes, 1.0 Amelanistic Cornsnake, 1.0 Ghost Cornsnake, 1.0 Motel Amelanistic Cornsnake, 1.0 Okeetee Cornsnake, 0.1 Striped Amelanistic Cornsnake, 0.1 Silver Phase Miami Cornsnake, 0.1 Sunglow Cornsnake