At $200 I like the Burris FF-II best. But it is followed closely by Leupold VX-1 and Redfield Revolution.
Nikon, Vortex and several others make $200 3-9X40 scopes of very similar lense quality. At that price point and with 3-9X40 scopes competition is fierce among manufacturers to produce a lot of quality for the dollar. It is the other features such as eye relief, weight, length, reticle design, ruggedness, etc., that give the edge to the 3 I recommended.
Stay with a 3-9X40 scope. Anything any bigger will cost $100 more to get the same quality. If it is the same price as either of these with more magnification, it isn't nearly as good.