FWIW,
I'm looking for a 7mm-08 round that will push a tough, heavy bullet hard enough to expand and keep on truckin' after impacting a fairly substantial stationary target up to 125 yards away. I must comply with a 150gr minimum bullet weight regulation in an environment where odds are about even that air temp will be at or below zero. Minute of softball accuracy would be sufficient, but less than ideal.
150 & 160gr bullets would comply with the regs but may not penetrate as far. Maybe too, I'm full of it. 170 maybe overkill. The last elk I shot with a 160 Partition from a 7mm-08 lifted her front legs off the ground before tipping her over. I muffed the shot, smashing a humerus on the way in. The bullet did not exit.
To let the cat out of the bag, my daughter (12) has a very good chance of being issued a cow/calf bison tag here in MT for the first three weeks of January. She is number 11 in line for one of up to 18 tags that may be issued. She and I would prefer she use her own rifle. It's the one she knows. We have standing offers to loan her a .264 Win mag, a .300 Win mag and a 375 H&H, none of which would fit her. I'm also willing to cut down one of my larger rifles if necessary.
I know 7mm-08 is a bit light for this application, but I also believe it can accomplish the task Handily.
Unlike bulls, cows generally don't go over 1100lbs and I'm advocating she take a yearling.