Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Michigan to Nagoya as you normally would.
Due to multiple factors, expect to potentially pay more when booking in February. For low rates, July can be a great choice for travel to Nagoya. Flights to Nagoya from Michigan in July are about $2,328 on average during July, but can be found for as low as $1,600.