In no particular order, long range, with punch and less recoil...
.270 WSM
.270 Weatherby Mag.
.264 Win Mag.
All can do elk, all are very flat shooters and will go the distance, and all are less recoil than the larger .30 cal or bigger.
You could probably get away with a regular .270 Win but the mags give that much more power for the longer shots and don't add too much recoil. JMHO, YMMV.
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