I am in the US and about to embark on my third child's college application process. For what it is worth ...
You need to understand how the process works here from the point of view of the universities encouraging applications. Every college wants their acceptance rate to be very low because that indicates that the college is very selective/competitive etc. and is included in their stats. What this means is that colleges want to encourage as many applications as possible. So when an admissions person tells your daughter that she is a very competitive candidate/should apply/will possibly get money that may be true - but what is certainly true is application does not guarantee acceptance. (this works again once they give an acceptance - they then want you to take their offer so their yield rate is high).
So take any hard sell on applying with a pinch of salt.
Harvard and others (Brown etc) have good online tools for determining what financial aid you will get. I think Harvard's works for overseas families too - Brown's doesn't. Usually kids apply and then apply for financial aid and see what they get offered. They may get merit money (money off their fees based on academic merit although that is a bit of a racket too), straight financial aid or offers of loans. You should be very careful that any money you are getting is scholarship/outright - not deferred loans.
You should also look at the early action and early decision concept - early decision means you are committed to accepting the place (increases the liklihood of you being offered one) and early action means you can still change your mind but indicates your interest.
I disagree completely that a US college degree is somehow less than an honours UK one or that there is widespread corruption and grade inflation. A 4-year degree from a good school in the US is an amazing experience - a true liberal arts and humanities education that doesn't require immediate specialisation and while career-focused is not only vocational. If you want to be an architect you will still take humanities courses, writing courses etc. If you want to be a historian, you will take math courses as well.
The SAT/ACT require proficiency in math and reading/comprehension. Easy to score college-ready. not easy to score on the level required for Brown and Harvard - which will have many people applying with perfect scores.
OP, you might also want to look at some of the liberal arts colleges around new england - colby, bates, bowdoin, holy cross, williams, middleborough, wellesley (female only though - as is sarah lawrence). Colby has a great online tool for figuring out financial aid.