just so you know I tried (out of desperation) to make a vinyl mask to burn our logo into wood using a torch just this past weekend. It did not end well.
What I ended up doing with decent success was making a vinyl stencil, lightly spraypainting the logo with black spraypaint, then lightly sanding it. It doesn't look exactly like a "brand" but it was close enough for what we were after.
Attached is a closeup of how it came out, as well as a shot of the whole sign to give you an idea. This was for an awards ceremony we sponsored, it had a school theme and we made the seating chart to look like a blackboard. We wanted our logo to be on the frame fairly small, branding it seemed to be the best way to do it. The frame is cedar, I "stained" it with a torch to bring out the grain, lightly sanded, painted the logo, sanded again, and then torched the whole thing again to blend it together. Up close the logo shows a bit more grain than I wanted, but it's actually only about 1" tall so from normal viewing distance it looks burned in, several people asked me if we actually branded the frame, which is good because that's the effect I was after...
Anyway, not sure if this would work for your application but I figured I'd throw it out there...