Accepted to eng. top 20: Is there any chance companies will pay for my college if I tell accepted?

What is the least expensive option that you have been accepted to?

Going $100,000 in debt is IMHO a huge mistake. Half of this would still be a mistake. You would be much better off to work for a year and apply to universities that are less expensive, or to go work for an employer who will pay for your Masters after you work for them for some time.

By the way, I have heard many times that the US needs more STEM graduates. You have just discovered that we as a nation are not willing to put our $ where our mouth is. However, you have to deal with the way the world is, not the way that we might think that it should be.