The best way to settle this case is to retain a New Hampshire licensed attorney and request that he represent you in absentia. If this process is authorized under New Hampshire law, your attorney can represent you in court without you making a physical appearance.
Hire a local attorney to handle the payment of the fines.
You should be able to get away with a very reasonable attorney fee.
This is not legal advice. If order to give you legal advice i would need to see the Tickets and talk to the court first. Good luck:)