Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Canberra to Nagoya as you normally would.
For a flight from Canberra to Nagoya, you will be flying from Canberra. Canberra (CBR) is just 6.4 km from the centre of the city. Canberra is the only Canberra airport and it handles 0 outbound flights to Nagoya per day. 2 airlines have flights to Nagoya from Canberra on a regular basis.
Cathay Pacific, Qantas Airways and Singapore Airlines are the most popular airlines when flying from Canberra to Nagoya.