Here in central Texas, we have a lot of problems with rabies in bats... (and we have several LARGE populations of Mexican freetail bats in the area.. they live under the bridges.)
We always hear warnings to not even TOUCH a dead bat, since the saliva carries the rabies virus, and they deposit the saliva on their fur when they groom themselves. We frequently hear broadcasts that if anyone touched a particular bat that was found dead, and tested positive for rabies, that they need to seek medical attention.
So... I don't know for sure, but if you handled the area the raccoon bit, there COULD be a possibility that the virus would be on that area.
Frankly, a swiffer mop isn't that expensive... I'd probably feel safer tossing it.