Yes, some American universities offer "needs blind"
From when one of my children was applying, I think the only places that offer needs-blind to overseas applicants as a policy, rather than case by case, are Yale, Harvard and Princeton. But we were looking at humanities, so MIT wasn't on our radar.
The people to talk to are the the Fulbright Commission. I have a memory of going to events they held in, of all places, Kensington Town Hall (?), just off Kensington High St. My child did the SAT at some godforsaken boarding school in the middle of nowhere, and the first ("reasoning") part isn't hugely difficult: they got a 2300 SAT on very little preparation. But the SAT subject tests, which you would need for a serious application, are harder: the maths syllabus is different, and some of the other subjects are seriously tricky.
From a student room thread my child was involved in which was mostly people applying to Yale/Harvard and Oxbridge, very, very few people were offered both, because they are looking for different things.
I was sanguine about the idea of having a child 3000 miles away, but now they're actually at university, I'm glad they're closer. Dealing with the odd trip to casualty and the occasional wobble is easier when they're a car ride away.