I believe the .223/5.56 is the best all around cartridge for what you want to do also.

I have fewer boxes of ammo to keep track of now that I have both a AR & a boltgun in the same caliber (I stock up heavily in fewer calibers now).

I take either gun depending on my set-up / conditions.....................

I do like my .243 if I expect it to be windy or expecting longer shots.