I would be very, very cautious sending her to a trainer that you don't know. There are a lot of "trainers" out there who are very successful in the dressage and hunter jumper rings but behind the scenes beat the living hell out of horses. I know someone who watched, horrified, while the horse she had in training got beat in the face with a dressage whip, mind you he was being a dink, but it does not constitute beating in the face. The horse's eyes were swollen shut when she got off.
A good trainer is a good trainer, no matter what discipline they are riding. Even though I am a dressage rider, with a dressage horse, there are h/j trainers I would sooner send my horse to than some dressage trainers, and vice versa for people I know in h/j land. Get recommendations,a and go watch a day of training. If the barn is closed to spectators/clients during the day without appointments, then run faaaaaaar away because that is the first sign of abusive training methods. Show up, unannounced and bring some cocoa. Watch at least 4-5 horses go. This way the trainer will ride many different types of horses (hopefully) and if she has a temper, it's going to show up in at least one of them. For trainers used to beating horses, they aren't going to be able to contain themselves for 5 horses.
Personally, I like the dressage idea. Get some good flat work done on her so when you put a jump infront of her she's balanced and controlable. Some h/j trainers will overface a horse by putting a fence infront of them too soon. Because she is off the track, you need to get her confident in the flat work without running of being unbalanced before engouraging her to "go" and jump. Get the instinct to run out of her first.