Scope wise if you want to shoot past 100m with a 22LR i would suggest you either get a scope that will dial the elevation reliably or as i explained above get one with a mildot or similar style reticle. Out to 100m then just about any scope will do - my father uses a old Pecar 4x on his brno just fine out to 100m, he just knows his hold overs (and hold unders for the closer targets).
Higher magnification scopes can have parallax and focus issues at short distances. Even 9x at 50m may not be focused if the scope parallax is set at 150m. Rimfire specific scopes either have the parallax set at a closer distance (say 50m) or have an adjustable parallax.
As i said above from a 50m zero a 22LR using subsonic ammunition will need something like 30MOA to be bang on at 200m. If you were just trying to hold over the target you will need to hold about 1.5m above your point of impact. On a 150mm square target i would not be confident in accurately judging that sort of hold over.
Equipment wise i would seriously suggest a range finder if you want to shoot past about 100m. At 200m with subsonics i need to click on another MOA of elevation every 3m... on a 3MOA target if i am 5m out on the distance i will miss completely.
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