lgd breeds

Hi, I have a quick question about LGD breeds. I have a one year old great Pyrenees female. She doesn't seem happy here. I think she feels more like a captive than a member of a team. What breed of LGD would be more obedient and loyal. Just wondering.

I am an active lurker and rarely post but a friend and I have started an egg business with 300 or so fowl including 70 or so free ranging ducks and geese. Not surprisingly the noise has brought with it the predators! We have a very active fox and coyote population and my goat herd is protected...