<p>Carnigie, Lehigh and Johns Hopkins are huge academic reaches and may also come in too high cost. </p>
<p>I would run Net Price Calculators for all the schools.
If the numbers are too high, don’t apply. If the cost is a doable, then IMHO it is worth taking a chance on an academic reach. If it is too high, then knock the school off the list and focus on other applications.</p>