Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Tauranga to Kyoto as you normally would.
For a flight from Tauranga to Kyoto, you will be flying from Tauranga. Tauranga (TRG) is just 3.0 km from the centre of the city. Tauranga is the only Tauranga airport and it handles 0 outbound flights to Kyoto per day. 0 airlines have flights to Kyoto from Tauranga on a regular basis.