Think I would look at a couple guns.
Savage heavy barrel in 300 Win or 300 WSM
Price is right, and accuracy out of the box on pillar bedded laminate stock from the factory. Cost is $600
Win Stealth or Coyote in 300 WSM. Stealth has 26" barrel and Coyote has 24".
My 300 WSM Coyote after pillar bedding, trigger adjustment and recrown will shoot 9-14 inches normally at 1000 and around 4" at 500.
Stealth is better platform to build a LR gun on later as its stock is much better for LR work.