There is no RSA, the issue is that in New Hampshire, your P&R license isn't necessarily issued by law enforcement, it can be issues by a board of selectman or other designee of the town. The exception to the Gun free zone is as follows:
[18 U.S.C. § 922(q)(2)(A)] does not apply to the possession of a firearm—
(i) on private property not part of school grounds;
(ii) if the individual possessing the firearm is licensed to do so by the State in which the school zone is located or a political subdivision of the State, and the law of the State or political subdivision requires that, before an individual obtains such a license, the law enforcement authorities of the State or political subdivision verify that the individual is qualified under law to receive the license;
This hasn't been put to the acid test