@MiamiDAP You make the wrong assumption that they would pay full price–they would not.At HYPSM even at 150K you would be still receiving aid, especially if you lived in certain areas of the country. And as thoroughly covered in previous posts, for the vast majority of households in the US, going to an Ivy (assuming you can obtain admission) would be cheaper than going to your state university.
Median family income in the US is about 60K, however at HYPSM, at about 85K and below, you would pay nothing out of pocket–everything from RT air tickets, to book, a laptop, and in some situation, study abroad for a semester.