Adult Ganders are good for this but I wouldn't rely on just the geese in your situation.
While I have seen a Gander chase off dogs there is always a chance that the gander could loose the battle.
A LGD is always your best defense against things like foxes or coyotes.
Both would be excellent since, if they get along, the noise of the geese will alert the dog and there is nothing wrong with a good double team effort.
We have our dogs separated from the winged ones (our dogs love chicken dinner) so the geese are the first alert, these are in with the hogs and so far nothing has tested what our hogs would do to them.
The foxes don't bother since the dogs are here. We do have raccoons, cats, wild dogs, opossum that wander through when the persimmons are getting ripe but they came less this year than last.
One other method would be to use electric tape or electric net to deter any snooping four legs.
We have a large pack of coyotes in our area but they don't come up to our land for a few reasons.
1) when they do their gather up yips our dogs go off, barking like they want to eat some coyote for dinner. They bark even after the pack has rounded up and are on the run.
2) There are large cow pastures behind our land, we are on the end of the mountain range and fully wooded, the coyotes prefer to run the fields behind us.
3) If the pack
should make the bad decision to check us out, I was Naval special warefare and I'm sniper trained, they don't stand a chance against my .308, and I'll leave the carcass so they know what happens if they come to our land.