What Country are you in?
I've only had experience with one .308 Kalashnikov and that is the Galil 329. It has an 18" barrel and a folding metal stock. Never really enjoyed shooting it so it became a safe queen. I love shooting the same rifle(Galil 386) in .223, though, so it was just the recoil, I suppose, that I didn't like. It also has some trigger slap that makes my finger numb after a while. Not sure why the .223 version doesn't do that. Maybe a bit overgassed in .308?
If they are available, you should consider the M1A or FAL in .308.