I like Tikkas, Savage 10/12,Remington and Howa/Vanguard. If I were looking for a rifle that met the criteria you stated in your first post of being inexpensive (not cheap, that would be Axis and Ruger American) I would start with either a Vanguard or Howa 1500. Barrel break in fairly specific in the shoot, clean, let it cool procedure, the added bonus of a 24" barrel in most calibers. I'm thinking of a 7-08 and the Vanguard will likely be my first choice because of overall quality and barrel length. I would like a little tighter twist but it should still work fine if I don't go too heavy on bullet selection. If you don't buy it, let us know, I don't think it will available long.
Add on, new Vanguards are around $460. wholesale FYI