I can relate some personal experience I had, but can't guarantee yours would be the same.
I had a friend who was the caretaker of a private facility on private land in NJ. The facility was in a municipality that did NOT have a no-discharge ordinance. This municipality is also extremely wealthy, not what I'd expect to be a "firearm friendly" town.
He secured permission from the owners to shoot there, in the form of a letter.
A couple of times a year he'd host "group shoots" at the facility. I went to a couple. There was one portion of the property that had a large hill that was used as berm/backstop for an impromptu range.
The first time I went the local police rolled up in 3 cars about half an hour after we started shooting. Multiple neighboring homes on the borders of the property called in about all the gunfire.
Friend identified himself as the caretaker of the property, explained that he had permission from the owners to shoot there (showed the letter) and that there were no laws/ordinances prohibiting shooting there.
Police left without any further action. Pistols and long guns were out and visibly obvious on our "range" tables.