Actually, I'm a very experienced hamser keeper (I've bred and shown hamsters for years) and I get bitten all the time - it comes with the territory. Until they're tame, a hamster's natural instincts are to protect themselves from the "hawk" that just swooped down onto their cage, and they will squeak and bite.
Obviously, if you have hundreds of hamsters you can't handle every single one, every day, so you generally handle the best specimens that you want to show (biting the judge is not a good way to earn points! ). That means quite a few of your animals are rarely handled and quite vicious. But they tame very quickly - it usually took me a couple of weeks of intensive effort, handling them every day.
My point is that despite the dozens or hundreds of bites I've received, I've only ever had one that got infected and that was because the hamster punctured my thumbnail. They don't transmit rabies because they are loners and completely domesticated and would never come into contact with the virus. The infection I got was staphylococcus, which is a germ on your skin all the time anyway.