Working here in Adelaide, Australia, we have our own little sand belt, along the coast stretching from Riverside in the north to Glenelg in the south, with Grange, Royal Adelaide and Kooyonga inbetween. Having built greens at all of these courses at one time or another (currently at Riverside and Glenelg), the method used is essentially push up greens of native sand, although at Riverside the super there uses an imported sand as the top 500mm. There is no drainage under the green at all and the depth of sand, depending upon the topography can be anywhere from 1m to 10m. No amendments are made to the sand, except for some preplant additives before sowing. Works pretty well agronimically and is very enjoyable to build this way compared to modified USGA with all its layers. However, outside of our sand belt its a different matter....!
Although I'd say that this could hardly be called an Australian method! Wherever there are sand based courses throughout the world chances are they have been built with sand push up greens.
cheers
Neil