If you are thinking about a picture of Edinburgh you have seen, I bet this picture was taken from Calton Hill. At the end of Princess Street, you might climb some steps to run into a magnificent view of the city, no matter the weather.
It might not be as high as Arthur Seat, but if you want to admire the magic of the Scottish capital, you might not lose the chance of coming here and breathe fresh air. And if it is snowing, I bet you this is one of the best places where you can have some fun throwing snowballs with your friends or having a ride on a sled.