My D could study for free in our current home country and she has had some good offers, but in the end she wanted the varied courses and a change from the very intense schedule of schooling here. Her last three years took up more hours than a full time job, and then on top of that she had some activities and so much homework. In a sense, that was preparation for her to do prépas here, but she did not want to abandon her music for two years. She is a very good student ( just got a Très Bien on her Bac!), but there is so little time to find all these competitions etc, that would set you apart, and she was never doing things with the thought of what would look good on a US college application, so she did not get into the schools that would cover the whole bill because of our modest income. Still, we are willing to pay what we need to, up to a limit 
-for her to have the experience she really wants. I really think, that the schools that didn’t accept her lost out. She’s pretty special, and I’m not just saying that because I’m her mother, people tell me so all the time. Really.
Point being, if you want to try the States, absolutely do, but have safeties at home and look for other schools besides the tippy top that you could be interested in, because all those schools you listed are wicked hard to be admitted to.