Hmm, there's plenty of ways to detail how statistically Hillary has the best chance, but that would probably matter little to you.
I don't think her campaign is employing a "hide in the shadows" strategy. Rather, they're focusing on small events and intimate settings with an emphasis on appealing to diverse groups of voters. She doesn't need to be out and about in huge rallies for name recognition, because she already has it, so she can afford to approach campaigning differently. In a weird way, she doesn't even need to do much to be on the news; the Republicans talk about her, the media talks about her, even Bernie supporters don't post in a thread about Bernie Sanders without mentioning Hillary Clinton (positively or negatively). Donald Trump is overshadowing the Republican candidates, but Hillary is casting a shadow over the elections.
One of the dumb things that happened this election cycle was when the media made a ruckus over Hillary getting food at Chipotle. At least now we have candidate gaffes (Republican side) and policy talk (Democratic side).
It's not "not campaigning", it's about effective use of resources. NH has the bad habit of being easily swayed by things that are happening, so the Hillary campaign will probably have better returns on investment elsewhere. In the end, NH only has a small chunk of delegates (in 2008 it was 22, divided for multiple candidates), and she's going to get some of them regardless of a majority or not because Dems have a proportional vote in primary. If that's they case, she can invest it in states where Bernie lacks resources to ground game and win by margins that exceed what Bernie can get from NH. South Carolina, Georgia, Alabama, and so on are states where Hillary lost in 2008 that have, this time, flipped in her favor. She can also widen her margins in the states she won in 2008California, New York, Pennsylvaniawhich have huge numbers of delegates (in 2008, CA had 370, and Hillary got 204 of those compared to Obama's 166; Bernie can grab 15 delegates from NH and it'll be wiped out by CA for Hillary).
You could say that maybe Bernie could earn more delegates than Obama did in the populous states. That's harder to tell because nobody polls those states.
But dramatis, NH could give the Bernie campaign great momentum! Not really. Obama won Iowa and New Hampshire (sort of, it was actually a bit messy and later on got messed up more anyway), but still had to run the table to win with a margin of about 100 delegates from about 3400 delegates. Bernie doesn't have the level of money and resources Obama has. You have to ask yourself if the 'bandwagon effect' of Iowa and New Hampshire wins are enough to overcome a war machine on its own, without money or campaign staff.
I would say no. Especially since that war machine is now a Frankenstein mix of the Obama campaign machine and the Clinton campaign machine.