Will, take a look at Chapter 490 Fisheries and Game Section 26-27 b

(b) Any landowner who has a domiciliary residence in this state, his spouse or lineal descendants may hunt, trap or fish on land owned by him or on land leased by him and on which he is actually domiciled, which land is not used for club, fishing or hunting purposes, without a license, subject to the provisions of this chapter.

and from Sec 26-86
The commissioner shall issue, without fee, a private land deer permit to the owner of ten or more acres of private land and the husband or wife, parent, grandparent, sibling and any lineal descendant of such owner, provided no such owner, husband or wife, parent, grandparent, sibling or lineal descendant shall be issued more than one such permit per season. Such permit shall allow the use of a rifle, shotgun, muzzleloader or bow and arrow on such land from November first to December thirty-first, inclusive.

Pretty sure you'd need to get a private land consent form signed by the the properly authorized individual in the corp. that owns the land or from the club that leases the land from the corp.