Our Texas-based 3RF group has a sister group in Australia, based in Melbourne and assisted by members of the Astronomical Society of New South Wales.
They say they can see the whole of the Big Dipper asterism from Ayers Rock. Most of this group's observing is done in the vicinity of Coonabarabran, which bills itself as the "capital of Astronomy" in Australia. Each year the group hosts an astronomy vacation for up to 36 people, using 3RF volunteers and telescopes, near Coonabarabran at the Warrumbungles Mountain Inn. For more info on that trip, which is sold out already for 2014, see:
You may also contact that group for general observing information for Australia.
The universe is not only stranger than we imagine, it's stranger than we CAN imagine. --- JBS Haldane
Come visit me at Comanche Springs Astronomy Campus (we're on Google Maps) in Texas.