On head strong horses I use a bit called "more dressage"
Waterford is good - horse can't grab the bit and run!
Try a kineton nosebands for extra control. You might not need another bit then.
My pony is quite head strong and i use a hanging cheek snaffle with 'ribs' on the inside to help him soften and to not lean on me (from shires equestrian) and he has been an angel since 👍🏻
Tom thumb or a copper roller!
Pelham is a very good bit for a strong horse!