Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Chennai to Fukuoka as you normally would.
Related info for your journey
Useful info, stats and facts about Chennai to Fukuoka flights.
Chennai Airport is MAA and Fukuoka Airport is FUK. These codes are created by the International Air Transport Association (IATA) and airlines use them to identify the departing and arrival airports in the flight routes they service.