I have a Dr. Cooks that I use. I don't know if it's because I have a synthetic version, but mine only puts pressure on the nose band while the cheek straps stay loose. Since some people have problems with poll pressure though, I guess I'm lucky.
Keep in mind that I use the bitless because my horse is very responsive and only requires slight pressure. I don't know how it would work if you had to pull strongly on it.
I have seen some people get a good, close fitting leather halter and put reins on it. I think this is a good idea as long as you are confident in the horse not ignoring it. You could probably do the same thing with your normal halter.