A modest used bolt action or lever actions rifle is about the same money as an AK so cost isn't really a factor.
So really the only reason to use an AK for hunting is for the challenge. I respect that. It's like using 2 lb test line for trout.
Primarily we are after Mule deer, but you can pull an any anterless tag and go after whitetails too.
You seem to be either shooting very long range from butte to butte or very short as you flush them out of ravines and creek beds.
For the distance work, scoped .270 Win Remington 700's or Ruger M77's are the preferred tool.
Short jobs require a quick carbine. So either Ruger Mini-30's or AKs do the job quite well.
I've dropped into thickly wooded ravines so tight you can only carry a handgun.