Yup, a .300 magnum, the .300 WSM is my pick.
You need to revise your minimum impact velocity up from 2000 to 2400fps.
Copper bullets are notoriously fickle when it comes to sufficient resistance to generate the kind of 2x calibre expansion required to kill a big heavy deer. If you put it behind the shoulder then you got a good chance that it will zip straight through. You have a much higher chance of poor shot placement with copper bullets because they have a lower BC than decent hunting bullets, not only do they shed velocity, but they get fucked about by the wind something terrible. Especially the light for calibre ones.
You need to go as big and heavy and fast as you can handle for sambar at 300m+.
I suggest you sit down for an hour and run through a whole bunch of factory ammo offerings with a ballistic calculator and see for yourself how much velocity they shed and how they compare with windage. You will see that the .308 Winchester is very weak at 400m with a 165gr copper bullet.
I would really like to know why you are choosing copper for sambar when there are so many better bullets for 300-400m big deer.
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