I live in northern NH and work remotely now (previously was a teacher up here). The internet quality is dependent house by house. For example, we have high speed internet due to being in range of a mountain, the house 2 minutes down from us is further down the hill/doesn't have a clear view of the mountain, and therefore is on satellite.

I'd check out the Rail Trail apartments in Littleton. Brand new, lots of young outdoorsy people in the area. Very close to the mountains. Super accessible to 93 if you need to get down to Boston. I'm sure there's a waitlist though.

Like others have mentioned, I'd be mindful of the field you're in, ie if you were to lose your job, what would you do? Do you think you could find another remote job? If not, are you able to find a job in your field in the area you move to? Or are you willing to move again if you can't find another remote job/or onsite job in whatever area you move to? I got pretty lucky falling into a remote job, and am not sure if I would be able to find another remote job down the road if I were to lose this job, but I can always return to teaching.