Baking problem/question.

So I was trying to bake an object today. To make it look shiny like latex. Well after reading up about ways of doing it. Finding out that material shaders wouldn’t work. I tried using lamps. I tried a lamp with Constant falloff and No Diffuse. I got what I wanted, only problem is that I still couldn’t shadowbake. Noticed I could with the default lamp but not with that one. Can it just not be done? Thanks in advice for any help. I would just like to know if its possible or not because I have spent a couple hours surfing around for everything on baking.