Eh, money no objection? if you can snag a sako TRG 41 in 6.5x55 i would make an argument that you could expect it to be the absolute best non custom rifle money can buy. More easy to aquire perhaps would be a Sako 90 in 6.5x55, the Sako 85 varmint came in 6.5x55 i believe (i had 223) and was a joy, the stock being a big contributor to its accuracy.
Tikka is a budget Sako from the same factory ever since Sako merged/took over Tikka. The returns are diminishing tho, a Sako 85/90 or TRG Will out of the box have a small advantage on the t3x but that is mostly due to a nicer stock and better bedding. With a little elbow grease a t3x becomes a Sako. I really cant comment mutch for any other brands exept the german and finnish guns and sabattis. Unless you go custom i simply havent found any of the mauser/sauer etc beat out a Riihimäki rifle. Doesnt mean they arent out there ofcourse. The TRG line of rifles is on yet another level! thats almost a custom competition rifle straight out of the box If you want to throw down 4000-6000 euro.