This may be a dumb question, but why are you certain that it is the brake switch? Reason i ask is that iirc the bulbs are powered off of that fuse under a stopping condition. Bulb failures are a major source of frustation for me with two of my DD's, and because one of them has a "light control module", I get stupid readouts on the dash that vary from "right brake light open circuit" to "turn signal circuit shorted to ground", and it has always been a damn bulb. In one of my DD's I have resorted to putting direct replacement LED bulbs in at $20 a pair because they last a year instead of 2 months.