What makes you think she doesn't like her bitted bridle? Horses have to be trained to accept pressure. If she just doesn't like pressure, she isn't going to be cured by moving the pressure to another point on her face.
Some horses honestly don't like bits. But most
horses who resist the bit honestly don't like pressure and haven't been trained to properly move off of it.
Or the human riding them doesn't have good hands -- e.g, there is no release. For example, some people pull a horse all the way through a turn. They keep pulling even after the horse is bent and moving the right way. No release, even for a correct answer (turning).
Before you change tack, change yourself and your training techniques. Also, get a dentist to check those teeth. Check your saddle fit. Pain creates resistance.