First, the cost is pretty high, we’re talking about over $300,000 over four years, and that will not include travel. Do your parents have that kind of money?
Second, your chances at Oxbridge, Imperial, or UCL are far better, and these are the equivalent to any of the USA universities, are far cheaper, and will take less time.
Your chances at any of the USA universities are pretty low - there are a large number of students applying from the UK, and all are very competitive. While your academics are very good, your lack of serious awards and distinctions is a definite issue.
That being said - if you can afford to attend if accepted, apply, but don’t have high expectations.