I have never actually fired a Stevens 200 but have shot several Savage 10/110s. Actually I have shot all chamberings they offer except the 338WinMag. To me they are one of thethe most accurate rifles out of the box. My Uncles stepson has a Sako in 270 and his brother a Savage in 270. They can swap guns and you can "see" no difference in their groupings.Savage/Stevens may not be as pretty but they are just as dependable and accutrate, sometimes more-so.
My Dad has shot the same Remington 700 30-06since April of 1979. I have seen him shoot groups just as tight and consistent with other peoples Savages as he doeswithhis old girl.
If you are agreat shooter, the Stevens 200will more than match you.