You are opposed to the slow twist? I know it's not legal for dressage.
Well , for starters, try the french link.
In other ways, you would need to work on learning how to keep him light and responsive to a bit.
I rode a few times in a myler like that one and I did not like it very much. But, usually, one can adjust and getting a horse to not brace against you has more to do with having good hands than having a good bit.