This is a late reply, so the bat in question is probably long gone by now.
The previous advice is certainly valid, especially regarding not touching the bat, bagging it, and calling the health department.
The health department, depending on where you are, may or may not be interested. If there is no human contact they may not be at all interested.
However the Department of Natural Resources or in NY Department of Environmental Conservation may be interested to study the bat for cause of death from an epidemiological point of view, as there are other things other than WNS that can kill bats including toxic chemicals and diseases. One reason to study dead bats is for rabies surveilance.
See article in
Morbidity and Mortality Weekly Report MAY 29, 2009, regarding 2008 case where parent picked up dead bat, took it to childs school, and sure-nuff, the bat had rabies, setting off an expensive and troublesome process...
http://www.cdc.gov/mmwr/preview/mmwrhtml/mm5820a1.htmIt seems from the article that the bat in question was a silver-haired bat as the strain of rabies found was endemic to that bat. The silver-haired bat has been implicated in many rabies cases in humans in the United States. It does not frequent caves although I noted an article stating they hibernate in the mouth of caves in the NE US. Generally it lives in forests. The cases where silver haired bat was implicated in rabies in humans was often associated with a bat getting into the house and the patient having an unidentified or untreated bite.