Do you encounter situations where your ONLY shot opportunity on a deer is from almost 1/2 mile away?
Or do you think you could realistically close that gap by 200 yards (or more)?
If you’re sharing this gun with family, 6ARC is probably the better choice.
Realistically any caliber choice will get it done in this range. Go with the .223 for low recoil & economical practice. Most importantly, get that suppressor ordered. In ~8 months, you’ll be glad you did.