There are several low-end price ranges, and each one would have its own one or two "best values" within that price range.
Are we talking new only, or new AND used?
Are we talking
1. $250-$300,
2. $300-$350,
3. $350-$400,
4. $400-$450,
5. $450-$500,
6. $500-$550?, or
7. $550-$600
Without knowing more, in the 2nd category, I'd run with the T/C Compass, and in the 4th category, a T/C Venture.
But I hate detachable mags, so I'd find a way to step up to a floor plate gun - a Savage 10/110/11/111 etc., or a Howa / Vanguard in that $500-$550 range. Or better yet, a used Win 70 or Browning A-Bolt II. Chambering - pick one. I like .270 win, .280 rem, and .30-06 for elk-sized critters. Use a premium bullet of any weight, or a heavy budget bullet.