New Hampshire, most likely because it is far less liberals than the other states. In order, I would say:
1. Vermont
2. Maine
3. Rhode Island
4. Massachusetts
5. Connecticut
6. New Hampshire
Upper New England especially developed very socially liberal tendencies, and turned heavily against the republican party when they went too far right.
BTW, why is everyone saying Rhode Island is the most socially conservative?
Strong catholic population, the fact that all of the votes against the gay marriage bill in Rhode Island were Democrats. There seems to be a more traditionalist streak in Rhode Island.