I'm glad to see this question. Too often, we just discuss technology here and ignore the morel questions.
If they fluoresced under UV light, that would be really great, but I have no idea whether they do.
I suspect that experimentation is the only way to find out. Try a couple of different light sources.
Do you find mushrooms by recognizing the shape, or is there a color to them that distinguishes them from the background? If you have a light that you can hold out an an angle to generate shadows, it will allow you to see shapes and textures better. i.e. a small light you can hold out, or even some sort of "light on a stick."
It's possible that a monochromatic light source like a red LED would make them stand out against the background, if they reflect differently at that wavelength. Try taking a high power tunable dye laser with you and sweep the spectrum.
I suspect that unless they fluoresce, you won't find anything that's a lot better than other light sources.