I prefer the 243 for what you are asking about. Here are my reasons why.
My state has a min caliber for all big game (243/6 mm). Check your state's regulations before purchasing.
I can get factory ammo with 54 gr varmint bullets at close to 4,000 fps.
I can get factory 100 gr big game bullets.
I can handload anything from 54 gr to 105 gr at a very reasonable price.
The bullets for 243 are heavier than 224 and buck the wind better on long shots.
You can't fix stupid....however ignorance can be cured through education!