The best place for turkey (introduced species) hunting is probably on Flinders Island in conjunction with a cape barren goose and wallaby hunt.

Not sure if anyone here other than Rob is a member but I'm sure AHI book an annual hunt down there with these guys http://www.rockjawtours.com.au/turkey.htm

As for native bush turkey and the bustard found further north and inland, I'm a bit sceptical and would like to know how well they cook up before lobbying for a sustainable harvest