Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Albury to New York as you normally would.
For a flight from Albury to New York, you will be flying from Albury. Albury (ABX) is just 3.5 km from the centre of the city. Albury is the only Albury airport and it handles 0 outbound flights to New York per day. 0 airlines have flights to New York from Albury on a regular basis.