More foreign students come to the US as graduate students, as graduate students you will get scholarships or grants for most of the programs. You will get a F1 visa for that. After completing the degree you will get a two year work permit. So all in all, you can do a graduate degree and work experience in the US for free based on the program.

Most foreign students who come for undergraduate studies pay their way through it. They cannot work unless they have residentship such as a green card. You will also pay out of state fees which is high, but if you are an outstanding athlete you may get a scholarship. There may be scholarships such as transfer students between France and US, your best bet is to contact a US consulate in France to get some ideas.

Having studied in the US and now living in Pennsylvania, this is one of the safest states. My daughter goes to Penn state but a local campus in greater Pittsburgh area, not only is it cheaper than the main campus, she also gets personal attention from the professors who have helped her immensely to navigate through the four years and helped to land internships and jobs.

There are many other universities in Pennsylvania including the IVY league UPenn which is as good as Harvard and Stanford but as difficult to get in.

This is the list of universities in Pennsylvania.