Realistically, it probably would be your best bet to come over as a student and then once you're here if you are aggressively working hard on the side to build a network and show value in various contexts, you'll be more likely to be able to parley that into a working opportunity.

Let's be realistic, New York City is a city of opportunity where everything imaginable is happening all of the time. But getting work sponsorship from afar except for a very exclusive pool of ultra high-demand folks can be quite difficult.

A piece of advice: to a native English reader, your written English is dropping articles like "a", "an" and "the"-- I can only imagine how frustratingly arbitrary it must seem but these immediately make your written word appear less ready to go. You don't want to be put in that box and rejected from consideration out of the gate. Something to look out for.

Another angle folks will take is to get a job for a US or particularly New York city-based company in Europe, be a go-getter impressing folks to the extent that they'll be willing to give you what you want to keep you then you can make the move.