Someone mentioned donkey hunting... are feral donkeys a big problem there?
Not sure, haven't heard anything lately. Looks like they are somewhat in the remote regions. Most of the human population is on the east coast with relatively short travel to areas with pigs, foxes, cats, wild dogs etc so these are more commonly hunted. Camels were also a problem at one stage I thought but you'd have to be really keen, and well prepared, to visit the areas where they inhabit.
Check out the appendix in the attached report (it's 10 years old, so is out of date, but gives some sort of idea):
