Not to mention they don't qualify for the D1 Pure Nationals as they're a boarding school and mostly online which isn't community based. They would probably fall into the D2 pool which are District Schools and others?
From USA Hockey Nationals Guidebook
High School Varsity and Prep School
Varsity Division (male and female teams): Pure teams
that are community based public high schools, private
schools drawing their students exclusively from a local
metropolitan area (excluding any school that boards players)
OR a combined team from a state that has NO pure teams.
And
Billeted players competing on Youth Tier I, Youth Tier II or any junior
teams are not eligible to compete in the High School Varsity
national tournament. Participation is restricted to amateurs
who are full-time students (grades 9-12), and 19 years old
or under as of December 31 of the playing season.