I would approach it from a business need and not a convenience. Offer to take the Mayor for a ride to show them how it would work. Be sure to fly over their house and give them a bird's eye tour of their town. Be an advocate for business development in their town and show them how aviation in general, not just helicopters are helping already to improve the lives of the citizen of their town.
Be prepared for objections and be ready for a lively debate. Remember there is always someone who will complain regardless of the merit. Those people need to be discredited in a measurable sort of way.
For example, for years a certain individual would call and complain about the airport noise everyday to the mayor's office of a small town I am familiar with. The monthly meetings would come and go with the complaints being read into the record. One month, a city council member decided to check into the complaint after remembering the airport was closed for more than a week the previous month for repairs. Sure enough, the complaints came in each day that the airport was closed. Because the complainant was sure that he was hearing aircraft noises on those days, it was concluded that he must be hearing airplanes not associated with operations at that airport since the airport was closed and no operations were being conducted for that period of time. The same city council member retroactively struck all complaints about the airport noise from all previous records because it was determine they were not valid complaints. The point is be prepared for people who are complainers. Document when and where you were operating at what altitudes etc AFTER you are approved. They will complain but they will not be prepared to defend their complaint when faced with these types of records.