I shoot ARA factory bench rest. My scope goes up to 60 power, but I mostly have it set at 50X, because it gets a little dark at 60x. Obviously, benchrest shooting is precision shooting, and as far as I'm concerned, more magnification is better as it make it easier to make more exact shot placements and for holding off on the target. (and I'm a magnification whore, too). But you certainly don't need something of as high of magnification as mine. No matter what power scope you get, you want one that has either fine cross hairs or a tiny aiming dot; You want a target reticle. You don't want the cross hairs hiding your aimpoint. With the wind, you'll rarely be aiming at the center bull.
I'm just making a guess here, but for the guy who wants to shoot bench rest but doesn't want to get too carried away price-wise, their max scope magnification is perhaps in the 24 to 36 power range. Weaver used to make a fixed power scope at 36 power that was well received by the bench rest crowd. Personally, I wouldn't want to go anything lower than 36 power.
Again my guess, but you should be able to spot a .22rf bullet hit with a 4x scope if you've got good vision, but a 4x power scope isn't a target scope-at least for me.
Find a couple of scopes in your price range and look at their specs to see how close in their parallax can be dialed to. I wouldn't want a scope that couldn't dial the parallax down to 20 yards or so.
Once I find the lot of ammo I'm going to use, I'll zero my scope and dial my parallax to 50 yards and I may not touch either again until I run out of that lot of ammo. I do not dial in wind as that varies too much in a match; I make my guesstimates and hold off on the target.