Agreed. I’d also not apply to Purdue (has FYE which is like ETAM), UIUC and U MIch - but I’d guess you’ve already applied - so no harm, no foul.
You’d have to run the Net Price Calculators to see if having 2 at the same time will help. It will depend on the school. I put Northwestern’s below. You need to do for each - but why does it need to be a reach? Budget it what you should matter - but do these for the privates - and as a public, only UVA as they meet need.
To save money, I’d strongly consider the largesse of UTD or Bama given National Merit - but I would not go to UTD for CS. Why? What if she decides against a Masters…or if she still wants to do it, how many pre-reqs will she need to take. I’m not sure how CS relates to Materials Engineering.
Good luck