I'm not from NH (I'm from MA, right near the NH border) but wanted to wave across the border. I was originally diagnosed by a Dartmouth-Hitchcock ENT in Nashua, and DH at first wanted to send me to a specialist in Lebanon. But after some quick research, they decided I'd be better off going outside DH to Mass Eye and Ear in Boston. Of course, I'm only 45 mins from Boston so that makes the decision much easier.
The key is finding a doctor who is very experienced with ANs. Yours is relatively small, so please don't feel pressured by anyone to agree to a treatment until you've done your research and feel comfortable with the decisions you're making. You have time. I don't know of any doctors in Lebanon, but that doesn't mean they don't exist. You just want to ask how often they treat AN patients, how many they've done over their career, how often they recommend surgery vs. radiation vs. waiting, etc. And if you decide you want the names of doctors in the Boston area, just ask. There are a lot of good options. They neuro-ENT I see has a watch-and-wait patient load in the hundreds, not even counting all the post-surgery and radiation patients he follows.
If you have any way of making it to Worcester, there's a group from the forum meeting there for brunch on Sunday Aug 5. It's a great experience to meet people in person. I went to my first brunch about 2 months before my surgery and it was wonderful.
Good luck, and keep asking questions!