Based on turkn8's description of requirements I would believe a CVA Scout type rifle in 350 legend would qualify. Breech loading, hammer cocked, single shot. Reviews I have watched indicate excellent accuracy.

Primitive Weapons

Weapons legal for use during the Primitive Weapons season are all archery equipment and primitive firearms. "Primitive firearms," for the purpose of hunting deer, are defined as single or double-barreled muzzleloading rifles of at least .38 caliber; OR single shot, breech loading, metallic cartridge rifles (.35 caliber or larger) and replicas, reproductions, or reproductions of those type rifles with an exposed hammer; OR single or double-barreled muzzleloading shotguns, with single ball or slug. All muzzleloading primitive firearms must use black powder or a black powder substitute with percussion caps, #209 shotgun primers, or flintlock ignition. "Blackpowder substitute" is defined as a substance designed, manufactured, and specifically intended to be used as a propellant in muzzleloading or other black powder firearms, excluding modern smokeless powder. Metallic cartridges may be loaded with either black powder or modern smokeless powder (cartridges purchased at sporting goods stores). Telescopic sights are allowed while hunting with any primitive firearm during the primitive weapon seasons. During any open season on deer with primitive weapons after November 30, a person may use any legal weapon of choice on private lands only, if the person is the title owner of the land, the lessee of the hunting rights on the land, a member of a hunting club leasing the hunting rights on the land, or a guest of a person specified above. If the person is required to have a hunting license, the person must have a primitive weapon license, Sportsman's License, or a Lifetime Sportsman's License.