How long, exactly, can rabies live outside a host (e.g., in a cat's water dish)?

I have had some encounters with a raccoons washing their (i.e., my cat's) food and their paws in my cat's water dishes outside. I clean up the mess anywhere from a few minutes to several hours after the raccoons (and possibly also skunks and possums) have left.

Since I sometimes have cuts and scabs on my fingers, I wonder whether there is any danger of contracting rabies from the raccoon-saliva-tainted cat dishes. If so, how "fresh" would the saliva in the cat's water have to be for me to be worried (e.g., 10sec, 1m, etc.)? [For the record, I do wash my hands thoroughly after touching the dirty dishes, and I wash the dishes themselves with bleach cleaner, so I'm not concerned about cross-contamination to anything other than my hands.]

Thanks in advance for any hard scientific advice.