I had a similar dilemma, I wanted the ergonomics and magazine of an AR with the accuracy of a bolt action.
What I ended up doing is buying a Savage 10 FCP-K chambered in .308 and then replacing the stock with an XLR chassis. I'm a decent shooter and with Federal GMM ammo I can easily get 2-3" groups at 300 yards. This is the one I use if I only need one shot.
With a Swarovski Z-6 scope it isn't a cheap rifle, but I like it a lot. When I sort out my handloading issues I plan on using the 1,000 yard range at my gun club.
For pig hunting, I use my POF 308 with a 20" barrel