I wrote a story for Longrangehunting.com called "September's Sabbatical" (Page 14 of the article section on this website.) that was about my buddy, Skinner, his grandson, along with my son and I hunting Wyoming antelope in 2015.
On that trip Skinner carried a 25-06, his grandson used a .243 shooting 75 grain Hornadys, my son used a 243 shooting 100 grain Partitions and my 260 Thompson Encore was loaded with Remington 140 Corelocts. They all worked fine.
Skinner made the longest shot with his 25-06, but that was under 200 yards. His grandson ambushed a group on their morning migration and got a double at under 80 yards. My son and I made like coyotes on our hands and knees and crawled within 60 yards of all four that we shot.
The trick with the crawling thing, we discovered, was to never go directly towards them. Zigzag through the sage, and go slow. In each case the herd watched us come the entire time, but we never made any quick moves. They just watched. Seemed they were fatalistic about it . . .