My honest opinion? I think any kind of aversive training (i.e. alpha rolls, shock collars) are going to make this situation 10000x worse.
I like Cesar, I really do. I know he's done a lot of good when it comes to dogs, and I don't think he MEANS harm. But I have seen so many dogs who end up in shelters, or needing to be re-trained because their owners tried to utilize these "dominant" methods on their dogs and then it takes a lot longer to re-fix the problem.
Your dog did not bite you because she thought she was a "pack leader" - she's a working dog, who probably doesn't necessarily belong in a dog park (depends on the dog though of course, but in general, I wouldn't advise most working breeds to be there) - she re-directed her attention and got you in the heat of the moment.
I have to roll my eyes now (and I used to be a huge believer in the whole "pack dominance theory") when I hear people spouting things like... oh my dog runs out the door before me because he's dominant. No, he simply is excited to go outside. My dog is dominant because he eats before. Nope, sorry, he's just hungry. And then I watch people go around "tsskkk"'ing their dogs thinking they are actually accomplishing something, when all the dog does is look up at the owner like wtf are you doing? lol. I just think only a select handful of people actually know what they are doing, and most are just making it worse.
If every time a dog sees another dog, or reacts to another dog, it gets shocked. It's going to learn "dog = shock = I don't like dogs anymore".
I think prong collars, shock collars, etc, have their place. But just like any tool, they can be abused, or misused. I think your really need to be properly trained in order to use one.
NILIF is great, because it's not so aversive. It's just teaching manners, politeness, etc.
Nothing in Life is Free
I also recommend
Control Offleash
(teach Look At That!)
Also heard great things about
The Dog Listener
Also, for reactive dogs, have seen the
recommended.
Good luck.