Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from London Heathrow Airport to Nantucket as you normally would.
Nantucket Memorial (ACK) is the airport you will fly into if you book a flight from London Heathrow to Nantucket. You should not have trouble finding flights to Memorial from London Heathrow; the airport handles an average of 0 inbound flights from London Heathrow per day. You should also have plenty of airline options to choose from since 0 airlines have flights to the Nantucket airport from London Heathrow. It is only a 2.8 mi journey from Memorial (ACK) to Nantucket’s city center.