Upvote:1
The Schengen states don't like to see "visa shopping" (the practice of applying to the "wrong" consulate in the hope of a better outcome).
However, you might have a little bit of leeway because the main purpose of the trip can be fuzzy. Are you doing anything in Switzerland that can be honestly called the main reason of the trip? If so, you can try to get your visa from the Swiss. Your application would say that you are going to Switzerland to see a museum or climb a mountain or whatever, and that you're seeing Italy and the Netherlands to see even more of Europe.
The risk would be that they reject your reasoning and refer you to the Italian consulate. Or, as Paul suggested, cut the stay in Italy by one day and extend the stay in Switzerland by one day.