Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Alice Springs to Stockholm as you normally would.
Alice Springs (ASP) is the airport you will fly out of if you book a flight from Alice Springs to Stockholm. You should not have trouble finding flights to Stockholm from Alice Springs; the airport handles an average of 0 outbound flights to Stockholm per day. You should also have plenty of airline options to choose from since 0 airlines have flights from the Alice Springs airport to Stockholm. It is only a 11.9 km journey to Alice Springs (ASP) from Alice Springs’s city centre.