If NH is so much in love with Women, then Clinton wouldn't be trailing in the primary polls.
Nor would half the state have ousted Carol Shea-Porter for Frank Guinta last year.
Wasserman Schultz would run well in New England (she's their kind of candidate if I've ever seen one) but would fall on her face pretty much everywhere else. Priebus would win handily.
The Democratic establishment would never let DWS get near the nomination for that reason. You'd see a relatively moderate Dem senator or governor quickly enter the race and overtake DWS. Maybe someone like Michael Bennet or Jack Markell.