I think you can't have a loyalist New Hampshire with an ARW starting over Massachusetts self-government. Too many cultural ties, they're right across the boder, too much fear that their similar system of government would be next. Heck, OTL New Hampshire was involved in the powder alarms before the first shots were fired.
Maybe if it's the Charleston Massacre and the Charleston Tea Party, New England, New Hampshire included, will be more pro-British?