Any budget rifle will work great, most are available in the aught six. As others have mentioned, the only one I would pass on is the savage axis. Not like they are inaccurate, they can be accurate. But they are very cheaply made, and seem to have more accuracy or quality control issues than a bit more expensive savages.
If you step up a few hundred dollars from the very cheapest rifles, to say tikka, browning x-bolt, Bergera, or even a Winchester XPR, you will not regret it. Actually I'm very impressed with the xpr's. They shoot great, nice actions, and decent trigger, and only like $799.99.