For reference, Shaheen led 53-43 in their September 29th poll.
This is going to be close - I'll give Shaheen the edge unless we start seeing more polls that have Brown up, but a Brown win wouldn't come as a big surprise. I think this race is more likely to flip than North Carolina.
44% think Brown will win, 47% think Shaheen will win.
Brown seems to have some sort of momentum in NH. North Carolina for the most part seems more static. So I'd tend to agree with you that NH is the next Republican "get" so to say over NH in rank order.
It's still Shaheen's race to lose, but Brown is clearly closing.