>Auto insurance is mandatory if you want to drive.

No, it isn't. Unlike almost every other state, New Hampshire does not automatically require motorists to carry an auto liability insurance policy or provide some of financial backing in order to drive a vehicle within its boundaries.

http://www.dmv.org/nh-new-hampshire/car-insurance.php

Further more, you can avoid auto insurance by not driving in most places. You cannot leave your body at home.