International applications form their own “pile”. You aren’t being compared with a kid from Chicago– you’ll be compared to a kid from your own country or region. That’s how the admissions stats for internationals is so low– they can choose to admit the top student from Egypt, Morocco, Nepal, Peru. They don’t need to dig deeper to admit 5 or 6 from every country.
Yes, they will “fully fund”. That does not mean that they will agree with your family’s assessment about what you can afford. And in order to get a student visa you will have to show that you have all four years of funding lined up– you will NOT get a visa if your plan is to “pay as you go” by working a job.
Take your shot. But do not ignore the admissions statistics- if 4% or so are getting in, that means 96% are getting rejected– and most of them have superb qualifications.