How can I identify and neutralize the chemical leaching out of new nitrile gloves?
Pack a glove into a glass container, let it sit for a few hours or days, get the container to your institute's mass spectroscopy and gas chromatography departments, and have them have a go at the gas phase in the container. I think that might be your best bet at finding out what is leaking out of these gloves. An IR or UV/Vis of the gas phase might also yield results, as Spießbürger suggested above. 

Actually, if you got an analytics department at your university/institute, why not go to them, they might be able to have someone do a B.Sc. or M.Sc. thesis on that. Even if you end up trashing the gloves, at least then it won't have been a complete waste.