i would moniter their habits or that of the general population of that which you are going to hunt and unfortunately suggest only killing healthy critters, you could probably call you local DHHS or human society to find out more or if their are any outbreaks in the area, if they ask just tell em you lost your cat or whatever and are worred about their health etc...
There are two kinds of rabies, the usual where they stagger around, foam and eventually die - the other is furious rabies where they bite.
I've had personal in-my-face type of acquaintance with the furious type, and since then I will kill every animal I even suspect of having rabies.
I suggest that you do the same, then bag the carcass using disposable gloves and give it to the local wildlife people or health services.