Hawks are the only problem I ever had in NH when dealing with predators. (besides housecats)
I found a solution 3 years ago that led to me no longer losing birds to hawks or eagles.
Fucking crows and jays.
I just happened to notice one day when I was out with my girls that the local jays were chatting up a storm, quite obviously pissed off.
Then I saw a couple of them mob what I thought was a raven. (it was late Nov/early Dec, so most other big birds already took off south) Turns out it was a small hawk. They drove the hawk off.
Since then, I've gone out of my way to attract jays by leaving out a feeder with sunflower seeds and cracked corn for them. Now I have crows too, which will harass hawks and even bald eagles. Even if they don't drive it off, the racket they make gives me time to get the girls back in their run if they're ranging.