Remington, Ruger, Winchester, Savage, take your choice. All those rifles are capable of meeting your criteria.
I've got a Remington 700 and a Savage 11. I recently shot a Winchester 70 featherweight. Either of those are capable of 300 yard targets, and I say that because we were shooting 300 yard targets. Oh! I forgot my son's Ruger. It was on the line too. His is an early Model 77 that shoots like a dream.
I'm a Savage guy, but either of those rifles will serve you well. Another to look at is the Weatherby Vanguard, or the Howa 1500. Great rifles in your price point.
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