Though they are double the price you mentioned as a limit, I want to recommend the ones I'm using for other people in need of really good NC headphones coming to this thread.
I got myself refurbished Bose Quiet Comfort 45 and in my opinion they are perfect. I use them to blend out noise in public transport, museums, shopping malls, the office and so on. I can wear them for hours without my ears hurting or the battery running out. They really improved my quality of life.