Mike I think you may have read that wrong.
It specifically states a rifle that CANNOT except a detachable magazine. IE FIXED.
What they are referring to is a rifle that doesn't use magazines but instead holds the rounds internally, like a Browning .22 auto. By the definition your using ANY rifle with a detachable magazine would be illegal, as you could easily buy larger magazines.
This would be more relevant. If you are just bringing it to bring it, don't.
Non-residents
Possession of firearms by a person who is a nonresident of this state is lawful while attending or traveling to or from an organized convention or exhibition approved by the NRA, and in which the nonresident is a registered participant within forty-eight hours of such event, provided that the nonresident has not been previously convicted of a felony and further provided that the firearms are transported unloaded in a locked opaque container together with a copy of the convention or exhibition program, convention or exhibition schedule or convention or exhibition registration card. This provision does not apply in NY cities not wholly contained within a single county.
A non-immigrant alien may possess a rifle or shotgun for use while hunting provided he has a valid hunting license issued by New York State and an approved gun import form from the BATFE.