Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Yogyakarta to Patagonia as you normally would.
If you book a flight to Patagonia from Yogyakarta, you will be flying from Adisutjipto, which is the city’s only airport. Yogyakarta Adisutjipto (JOG) is located 6.8 km from the centre of Yogyakarta.