As someone else alluded to, I don’t believe the town has the legal authority to stop you from flying in the airspace of the park so long as you are not physically in the park and take off and land outside of the park. Of course, you are still subject to the same rules governing drones (maintaining VLOS, not flying over people unless they are under a protective structure, observing time of day restrictions, etc.). The airspace is under the exclusive jurisdiction of the FAA.
Also, make sure your drone is marked with your registration number and carry proof of registration.
If you do run into trouble with local law enforcement, I wouldn’t engage in debate. If the officer is not immediately open to being educated in this topic, you’re not going to get anywhere by escalating things.
Fly safely, have fun and don’t forget to contact the FAA objecting to the proposed rule making to be published in a couple of days or the days of our ability to fly freely may be numbered.