This seems to be a common problem, my light has been out for a month or so, and I have seen this same post before.

There is one fuse for the shifter light that is on the passenger side of the dash. It also lights up the climate control box.
If your climate control box is not lighting up, you need this fuse.

I have not found a fuse just for the shifter light.

If you do take everything apart, get some pictures, do a writeup.
It would be appreciated.