I've done that. Had two 7mm Remington Magnums, one .240 Wby, and a custom, 6 3/4 lb. .25-284. All of them would push decent bullets 3200-3400 fps. for very flat shooting.
If you want more, I'm very impressed with the .257 Wby Magnum. Kicks a good bit less than the 7mm magnums.
The trouble I found was by 300 yds., wind can be a much bigger factor than a little more bullet drop. It's pretty easy these days to learn how far away the target is, but calling the wind takes real work in the field to learn.
The other problem can be the rifle's weight. While one can argue that from a solid rest close to the ground, even a light rifle can make consistant hits out past 300 yds., but a heavier one makes that easier. If one must shoot well off the ground, say over grass and low shrubs, then a heavier rifle really helps. E