Since it's a '96, is it a two door with the handles on the pillar? If it is, take the cover off the door handle mechanism. Should be one screw at the bottom and one nut at the top on the inside edge of the door. There is a small light that comes on around the keyhole. If it's broken, it's possible it could be shorting there since that light comes on with the courtesy lights. I think it comes on when you pull the handle or use the key if I remember correctly.

Only thing I can think of.