Free: Contests & Raffles.
I agree with earlier post that the Rem Sendero or Savage LRH are the best options within your budget. For optics I would recommend a scope with MOA based turrets rather than caliber specific, yardage specific turrets. You didn't mention your optics budget but the Nightforce SHV line is an excellent option for a mid priced optic with long range capability. Depending upon what caliber and scope you select you may also need a 20 MOA base if you want to shoot beyond 1000 yards.
I'm getting a new NF ATACR 5-25-56 for the rifle.