SSG 3000, see if you can find the 22lr kit and a 6,5x55 barrel. Its also possible to purchase 308 and 6BR (1:8 twist )barrels

Over here, the SSG3000/Sauer 200 STR barrels cost $400 and you install them yourself in 5min. They usually shoot less then 1/3 moa.


Here is fun video of the different types of target rifles that has been used in competition here the last 60 years.
The target is at 200m and "human head size".

https://www.youtube.com/watch?v=pK8fSVuxVaU

This is just one of several types of competitions. With around 150.000 active users in Norway, and 4-500.000 in Scandinavia.