I would go with a Savage that has the Target Action. The design is solid and easily upgradeable, with their barrel nut system. You can get barrels that are drop in from the likes of Pac-Nor that need no gunsmith to install. Here are three consecutive three shot groups out of my LRPV in 6BR. I really do not think Tikka or Remington are likely to match that out of the box.
