I have a lot of rifles, my 5.56mm's get shot ten times more often than any other caliber. If you hand load 5.56mm is every bit as accurate as a .308 out to 600 yards.
If you don't hand load you'll never get the full potential of any caliber, unless you're independently wealthy.
I own two Noveske built AR-10's, a 21" and a 16" and rarely shoot them. They are big, bulky and kick much more than standard AR's. I would hate to lug them through the field for a day, especially with a full load out of ammo and gear. AR-15's are just plain handy.
I shot M1-A's in competition for over 10 years and they weigh more and kick less than AR-10"s.
A Mark 12 Mod 1 mock up of an AR-15 is a great rifle. Develop some loads using 69 grain Sierra Match Kings for 300 yards and shorter targets. Develop some 75/77 match loads for longer ranges.
VihtaVuori N140
RE-15
Varget
H4895
IMT-8208-XBR are my go to powders