I own and have owned quite a few 308's as I seem to have a soft spot for them.
My number one these days is 20" but I am also looking for something shorter, maybe much shorter.
Based on what you are asking, I could recommend the Ruger American Ranch in 16".
Just know that you lose speed with inches and if I recall, its about 25-30 fps / inch in the 308. So whatever the box says minus about 200fps if you are thinking 16".
That's quite a bit and maybe a consideration if you are shooting monos.
If you hand load you can heat them up a bit and make up for a bit but obviously care is to be taken.
A 16" 308 will provide plenty of poop to take care of anything in North America with appropriate bullet selection.
I only shoot monos so I keep an eye on my engagement distances.