Drop noseband since it frees up her cheekbone
I use a wide noseband hunter bridle for eq and jumpers, and a one ear headstall for western/trails
My horse, a rescue, was broke in (we think) draw reins. He gets very afraid and very angry with bit pressure. I am a novice reiner/western pleasure rider.
When we do lateral work (roll overs, shoulders in, haunches in, etc) I use a full cheek Waterford. It can wiggle in his mouth, and he can hold it where he likes it. It is an even pressure over his tongue when I apply pressure to the reins. The full cheek aids with lateral movement.
If we're doing more forward work (trot/lope, circles, etc) I use a Bosal. It has no bit, and the reins are attached underneath the nose band. The movement of the noseband is opposite my rein pressure (right rein, touches left side of face) so aids with neck reining. When I pick up both reins, it adds nose and poll pressure, encouraging rounding through the head and neck.
Whatever discipline I am riding English or western I always have a throat latch on for safety.