Currently you have NYS law working in your favor... unless the gun toting poachers have specific permission from you, the property owner, they can be charged with felonies under NY's recently passed gun laws. Regarding hunting, DEC has a short paper on it at
https://www.dec.ny.gov/docs/wildlife_pdf/gunfaq2022.pdf -- Be aware however that there is a high probability that NYS is going to loose in court and this private property thing may go away... They made pretty much everywhere a sensitive place despite SCOTUS explicitly saying in NYSRPA v Bruen that they cannot do that. In the short run take advantage of the law... A felony arrest and conviction in NYS will strip them of their guns... which in cases like this doesn't bother me at all, though it otherwise does bother me.
The following is from
https://www.dec.ny.gov/docs/wildlife_pdf/gunfaq2022.pdf
Q: How does the new gun law affect hunting? A: The new law does NOT affect how lawful hunting may occur in New York. The law provides exemptions to allow for lawful hunting in areas otherwise restricted as a result of their listing as “sensitive” or “restricted” locations, but it may affect other activities such as transportation and storage of your hunting guns.
Q: Does the new gun law affect where I can hunt? A: Hunting is still allowed on DEC lands. DEC Wildlife Management Areas and State Forests remain open to hunting, as are many areas of the Adirondack and Catskill Forest Preserves including Wilderness and Wild Forest areas. State Parks will continue to offer hunting opportunities; check their website (
https://parks.ny.gov/recreation/hunting) for further information. For state lands managed by other agencies and other public lands, you should check with the public agency or municipality in control of the property to confirm which activities are allowed prior to hunting there.
On private lands, you must obtain personal permission from every property owner of lands you intend to hunt prior to going afield.
Also, if you do grant permission to hunt to someone, under NYS general obligation law you are held harmless from liability unless you charge them a fee.
https://newyork.public.law/laws/n.y._general_obligations_law_section_9-103
As appealing as it might be, don't shoot at them or set booby traps!
Keep an eye on changes in the laws that will be occurring... lots of lawsuits will be having an influence!