Contact the MIT coach sooner rather than later. The only thing to keep in mind is that the coach’s input has very little sway with admissions.
Your geography will be of interest to some college admissions committees. They generally like to take a few students from each state. Your scores and stats are top notch. Apart from the local kids at Exeter, you will probably be one of the top most kids in the entire state of NH. So this means that applying to Dartmouth will dilute your geographic mini-hook.
Applying to schools farther away, and with fewer NH applicants, will greatly help you, especially if you apply binding ED.