I use a bit-less because my horse works 100% better in one! I used to ride him in a simple snaffle and when we started having problems I tried all sorts of bits but couldn't find a single one that he seemed to like. One day I got so fed up of him acting up that I rode back to the stables and changed into a halter, I took him back out and he was a different horse!! He behaved perfectly!
Ever since then, I ride in halter or bit-less when I can. When I do have to ride in a bit (competing or PC ect) his performance rapidly decreases and his old problems set back in (head tossing, non-responisve ect)
We jump, work cattle, trail ride, gallop ect all in a halter and we don't have any problems! He can collect and round up nicely.
I would just try bitless on your horse, he might act beautifully!!