NH has a special permit allowing transportation of a motor vehicle without an inspection sticker. Just figure out the time that you’ll arrive in NH and then you have a free pass for 48 hours. I had one of these once, got stopped by a cop for an expired inspection, showed him the permit and he said he had never seen one before.
https://www.dmv.nh.gov/sites/g/files...ts/rdmv356.pdf