Go with the 338 LM case , up to you what action you go with , a single shot will be cheaper than a repeater , also find out if you can OWN a rifle in this calibre .
A guy in WA was told NO by the local police re getting a rifle in this claibre ( Sako TRG 42 ) .
Look at maybe a twist of 1-9.7 to use with smk 300gr bullets , also a REAL good reason to use 338LM in Aussie is you can get local cases from Bertum Bullets in Aussie , good cases at a good price .
Also Aussie is as far as I am concerned is FLAT , a excellent place to shoot rifles at long range .
If you are after a repeater the XL action by Surgeon is nice , I have some on order currently , and already have some of their short actions already in NZ .
Later Chris