Besides German Shepherds, I also have done Weimaraners. Take my word for it----even the highest drive GSDs don't even come near a high drive, bred to field Weim.
Even the HIGHEST drive dogs can learn what and when to hunt. Training trumps. I don't know how many times I've had people tell me that you can't train out inherently genetic drives----when my dogs are right there doing it in front of them, even people who should know better. With the right training, you can call off a hunt in mid stride.
I could do it with any of my dogs----Weims included. But you MUST do the training. And you MUST use it, everyday. This will give you positive control, off leash, no matter what the situation.
And a little off topic, but if your dog has prey drive, try building a flirt pole for her. It could help her let out some of that prey drive steam on something she can't actually kill. It might help tone things down a bit with her. "--------
Not a bad suggestion----however, she already knows HOW to hunt----you need to work with her on positive control over what and when she hunts.
Dogs are predators----you need to let them hunt---but you also need to have control over what and when they hunt. This is true of all breeds, hunting or not, from Chihuahua to Great Dane.
PM me if you want an outline of an obedience course that you can use to give you positive control in all situations. Both you and your husband need to do the course with your girl if you want results. There are no shortcuts.
I have a Weimaraner puppy coming in Sept.----but like all my dogs, the first thing he'll learn is that I call the shots about when and what he hunts. All working field dogs have to learn that----they are no use at all as a hunter if they ruin the hunts by bolting, not staying steady to shot, or failure to retrieve.
"I'd better go with you Huck, civilization can be dangerous."-------Tom Sawyer(Mark Twain)