Yes, but the Bad Blood cannot be an Elder. He can be a former elder, but not a true elder. A real Elder would have far more training and experience, while a bad blood would have jumped ship early, thus not gaining this knowledge. So in my opinion, the Elder wins. Someone with true skill doesn’t need dirty tricks to win a fight.
Now, if we're talking about an anchient elder who's seen it all and still became a bad blood, then I would say the BB.