@parent8762 - It’s on the edge of your geographic range and on the larger side, but James Madison University (Virginia) has a solid music program (including a top notch jazz ensemble and solid performance facilities), math and science concentrations galore, and the outdoor playground of the Shenandoah Valley. It boasts a healthy contingent of students from New England.
https://www.jmu.edu/music/areas/jazz.shtml
https://www.jmu.edu/music/admissions/_files/jmu-music-brochure.pdf
https://www.jmu.edu/csm/majors-and-minors.shtml
https://www.jmu.edu/admissions/visit/great-outdoors.shtml