Yale and Columbia arent really known for their tech recruiting, both can be solid schools for non-profit and finance focused careers. Ross is a solid choice although your GMAT will be on the borderline for their class and hence the decision can go either way. Same with Darden, although I have heard really solid reviews about Darden in consulting and they are trying to solidify their tech recruitment. You can even think of some solid tech schools like Tepper, McCombs, USC and Foster which have established relationships with tech recruiters and are known to have a solid pipeline of students going to the likes of Amazon, Microsoft etc.
On a separate note, if you are looking to build your career in education, an Edtech firm maybe a better bet than Big Tech as that will be a more specialized role. Big Tech will typically absorb you as a PM for their multiple offerings which maybe no where close to education. Do give it a serious thought.