N00b_Shooter
You say "Unfortunately, Dingos are a protected species so looks like you'll have to find something else to shoot"
No there actually not protected you just cant shoot them in a national park and need a control permit, well here in SA anyhow maybe it is different in NSW.
Bellow is from environment and heritage.
http://www.environment.sa.gov.au/biodiversity/faunapermits/
Unprotected Animals
There are a few common native birds and mammals, which are unprotected and can be kept or sold without a permit. A hunting permit is required to take these animals from the wild. Permission to take unprotected animals from conservation parks and national parks will not generally be given. Persons require written permission from landowners to enter their land to take unprotected animals. Galahs and Little Corellas can only be taken by means of shooting.
Zebra Finch Poephila guttata
Little Corella Cacatua sanguinea
Red Wattlebird Anthochaera chrysoptera
Australian Raven Corvus coronoides
Galah Cacatua roseicapilla
Australian Crow Corvus orru cecilae
Little Raven Corvus mellori
Wild dog* (Dingo) Canis familiaris *Animal and Plant Control Permit required.
Little Crow Corvus bennetti
Grey-backed Silvereye Zosterops lateralis halmaturina
Budgerigar Melopsittacus undulatus
Mammals, birds and reptiles which are not native to Australia (ie exotic or introduced) are all unprotected. eg Feral Goat, Pig,
Camel, Deer, Rabbit, Red Fox, Common Starling, Domestic Pigeon, European Blackbird, Spotted Turtle-Dove (Laceneck Dove).
Camels are not native so they can be hunted.
Yes I would hunt them, they are considered feral.
I would use my 375H&H although with good shot placement and a good projectile I think my 270Win would be ample to do the job as well.