I had a job in Mass and moved to NH. I still have the same job.
I would definitely recommend expanding your job search to Mass. New Hampshire has absolutely abominable corporate taxes. So, companies are super discouraged from incorporating, or principally operating, in New Hampshire (which is the key reason New Hampshire currently has the worst economy in New England). Therefor, most of them establish offices in Mass. Mass actually has reasonable corporate tax rates. For most small corporations, paying the Mass income tax is actually less expensive than paying New Hampshire's crazy rapetastic corporate/dividend taxes.
If you really wanted to work in Tech Support in NH to avoid paying Mass income tax yourself, Comcast has a large support office that they're opening and staffing in Londonderry, Dyn in Manchester is usually hiring tech support people, and there are tons of smaller tech companies in Nashua.