Adam - Being originally from New Hampshire myself, you're trekking in the same areas I did for years. I have had mixed results with various types of shelters in that area, dependent upon conditions.
Overall though, if you choose a good campsite, a single wall tarptent works rather well. However if you do something like pitch on an exposed ridgeline in the whites, get a nice wind and rainstorm, you will probably have some moisture issues.
If you plan on packing in the snow season, you could get away with a tarptent, but would probably be better suited to a double wall tent like the Scarp.
What I have always paid attention to first and foremost with any tent is how the floor is laid out, and what the size of the floor is. If the floor area mights my own personal criteria then you look at the other features, weight, single wall, double wall, entry, exit etc. Some people like front entry, some people like side entry. Do you want room to sit up in?
Think about how you like to be comfortable and then apply those criteria to all the choices of tents out there to come up with what is suitable for you at a weight you want to carry.
One other noteworthy mention, Condensation: Always carry a Shamwow type shammy with you. Whether the condensation is on the inside or out, the shammy's allow you to quickly dry off the walls before tearing down in the mornings.