2506 with 117 Sierra Prohunters puts down large bodied Tahr at and past 400 quite comfortably, deer are much easier to kill - fills the criteria set.
A short barrelled 270 in a light rifle will boot, a long barrelled 2506 in a medium weight rifle will not, reverse that and the recoil will be similar, lots of variables, but a newbie would be well served by .243 to learn rifle handling and use skills.
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