After reading through the HASS requirements it seems that you can get out of the humanities stuff by taking history of science, philosophy of science, technology and society, etc type classes. In any case, MIT and Caltech do allow you to specialize in STEM more quickly than at other places.
But again, I am just asking people to help me identify which of the colleges I listed are SUPER heavy on the humanities. So far I know Columbia and UChicago. Any others?