I agree that the best Universities for her at this point are those that have few or no extra requirements to get into engineering from undecided, and/or allow her to apply to the college in general not to college of engineering.
Set your budget for 5 years. If you have 60k planned, I assume for 4 years, it means you feel you can afford a total of 240k - divide that into 5 and tell her she has to find a university that is 40-45k a year max and she has time to explore. 