With the possible exception of the 98 Mauser action, the Ruger and Winchester CRF actions are probably the most reliable out there.
The 4X Leupold is another that is legendary in it's reliability.
Nobody I've met, who ever hunted a .308 much, had any misgivings about it.
I would, however, do a trigger job, or replace the factory unit if it doesn't come out as it should, and go with a free floated barrel. I've found such setups hold zero over the long haul very reliably and make the use of a shooting sling practical.
Last of all, I'd get either a Cling Sling setup or use a military shooting sling. E