The Chabad centers on the Dartmouth campus (Hanover) and in Manchester have minyanim on the weekends but I don’t think on weekdays. There is also a place in Bethlehem that has daily minyanim in the summer which you can probably learn about from the Chabad office in Manchester. BTW, the director of the Chabad in New Hampshire, R’ Levi Krinsky, is the son of R’ Yehuda Krinsky, a senior administrator of Chabad Worldwide and I think who also served as the gabbai to the Lubavitcher Rebbe, Z”TL. I don’t believe there are any other frum shuls in NH, but I could be wrong.