Quality outweighs magnification in my book. You can see more through a quality 9x than you can a lesser quality 12x.
Like lipadj46 said there is a big jump in price when moving from a 3-9 to say even a 3.5-10 in the same quality scope. You can drop in quality and get a higher magnification scope which is what many choose to do but in the long run you will be wishing that you had that better glass for its brightness, clarity, and sharpness.
There is nothing wrong with getting a lesser scope of greater magnification if that is what you really want. At 200 yards you will most likely not be able to see many bullet holes with even a good 3-9x scope in your price range. I have very good eye sight and I can make them out depending on the day and range conditions but not the greatest.
I hunt groundhogs with fixed power scopes ranging from 4x to 12x and have never felt at a disadvantage at even the longer ranges 300+ yards.
J.