Not sure about the NH ones, but even the "online" Mass Hunter Ed courses have a classroom component.
The courses are not like an LTC course, which is run by the individual instructor, but is run by MassWildlife, and the instructors are all volunteers. And, since most of them are hunters, now, they're out hunting. It's actuallt a .gov service, not a "business".
In the spring, there will be a new batch of classes. I know that there will be one at Southborough Rod & Gun Club
www.srgclub.com ( that's where I took it last spring, and despite knowing the instructors, I learend stuff!
). Don't contact the club or other host facility, MassWildlife does the sign-up and scheduling.
Your best bet is to go to the MassWildlife website, and see what's listed, or call....
ALL of the classes fill up fast, and earlier is better than later for signup.