Less reactive Arab lines?

This is really just for my own curiosity and for the sake of discussion. Of course, every horse is an individual regardless of breed, but does anyone know of performance Arabian lines that are known to produce brave, relatively calm (in the context of Arabs) animals?

My half Arab mare is terrified of the most random and annoying things. Things like semis and motorcycles are perfectly fine, but certain objects that she sees on a daily basis don't get any less scary. Barrels are terrifying. Signs are terrifying. Mailboxes are terrifying. Milkweed plants are terrifying. Painted lines on the road are terrifying. And we encounter most of these on every single ride in the exact same spots they've been in for as long as she's been here. If she spooks at something once, I know she's going to spook at it every single time.

She is perfectly tolerating of desensitization training. I've spent hours throwing hula hoops onto her neck and bouncing exercise balls off of her back and things of the like. She doesn't care one bit. She doesn't care about most things that move and make noise, and wild animals don't phase her one bit. But she hasn't ever gotten any less spooky about the stationary items she has constant exposure to and have obviously never tried to eat her. I can tolerate all her other quirks, but I am beyond frustrated when she throws herself into a ditch because she almost stepped on a painted line and noticed at the last second.

Anyway - the reactivity is a big part of what turns me off from getting another horse with Arab blood in the future. I know brave Arabs exist, but I'm wondering if there are lines that are known for it or if some individuals are just a lot better than others.

@Dreamcatcher Arabians and @phantomhorse13, I know you two have lots of Arab history.