For a delivery flight you should not have to worry about ETOPs. Aloha Airlines used 737-200's in Hawaii and its 2000nm from California, the closest land they would have had to fly from. Which is more than double the distance from Australia to New Zealand.
'' Delivery flts could perhaps be classified as 'Private , and the 1 hr rule ignored '' .
Still an interesting challenge , even if the stepping stones [ ETOPs 'wordology ] are much further apart , and what your own attitude to risk is .
Ernest K Gann , in ' Fate is the Hunter ' [ still an excellent intro to airline flying today ] , would have faced this all the time in his DC3s , at the beginning of the US involvement in WW11 .
More recently 2 friends had ETOPS shutdowns . 1 a 757 , 2 hrs to Gander . 2nd a 767 best part of 3 hrs to Goose Bay , said it concentrated their minds . A 3rd even woke up somewhat when mid Atlantic out of JFK , 1 of his 744 engines ran down , and he had 3 left ..
And these are a/c , designed for long range ops and nav. Back in early '80s a Merchantman [Vanguard] went off to Palmdale to pick up 18 tonnes of Tristar spares . The Flight planning Superintendent in BA Airtours [ the only Nav. left in BA ] had to quickly brush off his Navigators licence to shepherd them over .. Even 'tho they went Blue Spruce , the 'Bois were not long range experienced .