New Hampshire has updated it's official website to indicate that it will begin to honor resident permits (both classes) from the state of South Dakota.
New Hampshire does not recognize non-resident permits at all and so only resident permits will be honored from South Dakota as well.
At ConcealedCarry.com we are committed to keeping you up to date with all Concealed carry permit reciprocity changes. You can access a current map for your own state's permit or your own combination of state permits here: Concealed Carry Reciprocity Maps