CONCORD, N.H. — For years, New Hampshire has resisted the siren song of casinos, saying large-scale gambling was out of sync with the state’s family-friendly, White Mountains-seeking-tourist profile.

But as Massachusetts moves forward with plans for three resort casinos, a call has gone up for New Hampshire to grab at the pot of gambling dollars, with the governor — in contrast to her predecessor — throwing support behind the idea of “one high-end, highly regulated casino.”