First, do NOT get an LGD. They don't bond with chickens or go out of their way to protect them. Any chicken guarding they might happen to do is that chickens are in (usually deep in) their territory.
Anything they can walk on is their territory, and if you have less than a hundred acres, they're going to be deeply unhappy and want MORE territory, which is why they have such a bad rep for roaming.
Other than that, any breed YOU get along with and find easy to train will be fine, with the possible exception of some of the independent Northern types, and sighthounds. Sighthounds don't belong on farms, it goes against every fiber of their being.
Including, if not especially, hunting and herding breeds. Herding breeds were developed -not surprisingly - on farms, and no farmer in the history of ever has had much patience for chicken-killing dogs. Herding breeds are also famous for being easy to train, and tend to have an almost maternal bent towards their charges.
Hunting breeds, to the vast shock of most people, aren't useful if they are crazed maniacs that chase everything in sight. Hunting dogs MUST be trainable to hunt this exact thing to the exclusion of all else or they're useless. Do you think someone hunting ducks with their Labrador is going to put up with a dog bouncing around, chasing this and that, dashing after ducks uncontrollably and scaring everything for a mile around? No, of course not.
I have found hunting breeds to be the easiest to train to leave chickens alone, especially if you teach them to bark at hawks.
But the right dog for you is the right dog for YOU. A br eed you love and find easy to live with.