I think the issue here is not burn marks. They wouldn't go away, just using the hankerchief. Only way to avoid those, are sticking to the ol' wooden matches or a pipe lighter. This is easily removed. No need to ruin your hankerchief.
Water is the magic dissolver.
A Kleenex, napkin or anything alike, moistened with water, or even saliva, will do the trick. Just don't let the bowl top get too dirty. Frequent cleening is esential. This will even work on a sand- blasted pipe.