Also, can you gauge the boundaries of your parents’ perception of prestige? Would they really be so devastated if you chose Stanford or MIT over Penn? Or Amherst over Penn?
What are their limits and how far does their tolerance extend? There may be a happy medium somewhere - e.g if you tour Johns Hopkins, love biomedical engineering, and want to study there would that make them crestfallen?
Unfortunate or not, some schools - like Lehigh, Wash U, Emory, and Vanderbilt, still hold less of a draw than Penn, Columbia, etc. others, like Stanford or MIT or Hopkins (in some subjects) or smaller places like Amherst or Wesleyan, don’t have that problem.
There are many great schools out there, and maybe you can find one that you like and, happily, they like.