My first rifle was a 336 chambered in 35 Rem. I wish I still had it.
223 is too light for bear or deer. It is almost too light for humans. If the round hits at 2,700+ fps, it will usually tumble and yaw. Under 2,700, it is basically a 22. I read an autopsy report where a thug was shot 16-20 times with an M4. Around 15 rounds passed clean through without much effect.
From a humane standpoint, I would defer to a 30 caliber to hunt.
Nothing wrong with hunting from a moral standpoint, as long as it is done with proper intent.