I have never shot an elk or a moose but in 2013 I killed a 350# WT in Alberta with a 7-08 & 140 TSX at almost 200 yds, he dropped in his tracks. This load was not a hot load by any means (47 gr of H-380) but is very accurate in my gun. I am a fan of bullet placement over big holes anywhere!!! I don't remember the limits but a 150 TSX in a 7-08 at 2800+/- fps should do the trick.