Ruger or Tikka make some excellent bolt guns that you can find between $350 and $600. If you select a caliber such as .223 they remain very afforadable to shoot and also are highly upgradable if you choose.
The downside with those options are rings and an optic are still required. That means a $300+ in glass and rings.
Under $450 many places and offers an good rate of twist for a variety of bullet weights
Ruger® Ruger American Rifle® Predator Bolt-Action Rifle Model 26944
First focal plane rifle scope with lifetime warranty and a bunch of other features not normally found at that price point.
Athlon Optics 4-14x44 Talos BTR Side Focus Riflescope 215028 B&H
The downside with those options are rings and an optic are still required. That means a $300+ in glass and rings.
Under $450 many places and offers an good rate of twist for a variety of bullet weights
Ruger® Ruger American Rifle® Predator Bolt-Action Rifle Model 26944
First focal plane rifle scope with lifetime warranty and a bunch of other features not normally found at that price point.
Athlon Optics 4-14x44 Talos BTR Side Focus Riflescope 215028 B&H