I have an older savage 10FP (without accutrigger, flat rear) in 308, it shoots plenty accurate. 3" groups at 100 sounds like bad (ie surplus) ammo. With handloads mine is sub MOA at least out to 200 yards (1.5 inch five shot group).
I replaced the factory trigger with a Timney, well worth the money in my opinion. Don't know if the newer factory triggers still use a flat spring, but if they do, you'll want to replace it eventually.
The Stevens 200 is a good starting point for a homebuilt custom, and it's a darn good rifle in it's own right.