Yeah, I think you’re going to have to take Stanford’s NPC template and use that to research other private, highly-endowed colleges that give generous need-based aid. A lot of them, like the NESCACs (the New England Small College Athletic League) overlap the Ivies in terms of popularity but half as difficult to get into:
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You could take a look at Washington State University. It would be a safety for you. They have a moderately strong engineering program, and have WUE I am pretty sure. So cost should be ok. Don’t know if they have a good math program though.
Can you run the NPC on Williams and let us know if it’s affordable? What about Rice, WashU or Wesleyan?
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WSU may not be a safety for cost. Even the highest listed scholarship on its web site (full tuition for NMF or NMSF) leaves $22k per year remaining costs (mostly living expenses). With a $12k parent contribution, that would require a stretch budget including both federal direct loan ($5.5k) and some student work earnings ($4.5k) to cover. Without NMF or NMSF, the listed scholarships would be significantly smaller, leaving a larger gap to cover.
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