I've found the Cancer Council sunnies (at <$50) to be as good, if not better, than others at polarizing light regardless of cost. The price of expensive options tends to be based on 'fashion' and brand name and little else.
What would make a major difference would be if you need prescription lenses for perfect focus at lowered light levels and then you're getting into the $100's for quality specs but worth it where the smallest improvement is a significant advantage. The frames can make a difference - should have side shields and fit your face to exclude light from the edges.
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