So I ended up getting a korsteel double jointed bit- I guess it is an "oval" middle piece. If that doesn't work, I'm going to look for something thinner, but the tack shop didn't have anything myler-like in my price range when I was down there, so I suppose I'll look for a used one on ebay
or craigslist. If that doesn't work, bitless it is! Thanks all, for your suggestions! Much appreciated.