Consider a property line not just a line on the ground, but an invisible wall extending from that line on the ground up toward the sky. That's the issue here, is that the hunters are disturbing the 'air rights' of the adjacent properties by crossing that invisible wall, and not just by stepping physically onto the property. Using a helicopter wouldn't be much of a loophole if the air rights are concerned, I think.
Edit: after comments, yes, duh, it doesn’t extend infinitely and there’s the aspect of reasonable use, c’mon, why do people need their hand held through everything. Flying a helicopter over another property at 100’ is different than 2000’. Talk to the FAA.
Surely there is some altitude at which that doesn't apply? Otherwise there'd be problems with commercial jets too?
As long as the public land is large enough that you can land the helicopter far enough away from the private property to not expose yourself to other problems (some kind of noise limit maybe?), it seems like it should be doable right?
Fly over the property at 3000 feet and land on public land.
Even the national park service, which tries to restrict aircraft as much as possible, can only regulate in this way (and to prevent harassing wildlife).
I have a commercial drone license.
There is no specific rule against flying even 1 foot above ground over someone else's property, though it's very unlikely that doing so would not violate other rules unrelated to airspace. These include operating a drone unsafely, violating laws against harassment, and photography in a context where someone would have a reasonable expectation of privacy.
In other words, property owners are generally viewed as owning the airspace all the way up from their land, but that ownership does not confer any rights to restrict aviation, which is all done according to a separate body of federal regulations that has very little interest in land ownership. This is a similar situation to mineral rights, where land ownership matters more but there is still a separate system of regulations and deeds that operates largely independently from property title (which is why it's common in rural areas to buy land where the mineral rights are held by someone else).
Notably, though, this is all about flying - ground operations are different and you must have permission of the property owner for ground operations (except in emergencies when the regulations are generally tossed out the window for better glide). So property owners can restrict takeoff and landing, and (I think this is a little bit fuzzier legally but still generally agreed) remote operation of aircraft from their land.
In the US there is not a specific limit, but the principle is “your airspace rights extend as far as could reasonably be used in connection with the property.”[0]
It also depends on frequency of overflight. A small plane landing at a nearby rural airport once a week is treated differently than swarms of drones flying at the same altitude all day every day.
So maybe a few hundred feet, maaaaybe 5000 feet if your property is a helipad. But not infinite.
[0] https://aviation.uslegal.com/ownership-of-airspace-over-prop...
That cites another FAR, 91.119: https://www.law.cornell.edu/cfr/text/14/91.119 which lays out the general rules for fixed wing traffic and some exceptions for helicopters.
Over most unpopulated areas, it’s 500’ from surface, structures, vehicles, or people, unless lower is needed for takeoff and landing.