Well, if those are your only requirements, and you're throwing in the caveat, "could shoot great with reloads", then that covers just about every bolt-action 308 rifle out there. Some are more likely to be accurate, as mentioned above. The Savage and Remington rifle are almost sure-fire choices and I'll add in the Marlin "X" gun to that mix, as well as the Tikka T3 Lite. If you can find an older M700 on the rack at a used gun or pawn shop, it will probably do the job, too.
I gave my son a Savage Model 10 FLP in 308 for Christmas, with a Burris FF-II 3-9X40. He's not very experienced at shooting from the bench, but with our first run of handloads he shot a 1.2 inch 3-shot group at 100 yards...from a wobbly bench. With a few hundred rounds, tuned loads, and a more stable platform, he'll be down around 1/2" by the middle of summer. I paid $500 for the rifle and scope, combined.