150K is too big an obstacle to overcome for an MIT education. That amount is around what a new BS hire would make, gross, in about 2 years, depending on company/major. Too big a burden to overcome.
However, I wonder how you arrived at that figure. MIT does not do merit or athletic scholarships, only financial need. And being as well-endowed as they are, they do fulfil those need scholarships quite well. Federal student loans total around 25 to 30 K max for a BS degree. So, unless you have parents that have the financial means to pay but are unwilling to do so, I don’t see how MIT will cost you 150K.
GT for undergrad and MIT for grad school, if so inclined, would be an option.