Why worry about Ivies ? These are potentially better.
Have you asked for the career outcomes from each department ? Don’t assume the bigger name assures a better outcome.
I know a UT Chatt grad who just got big money from Oracle in Nashville. A poster reports their N Georgia grad got in at google. My Poli Sci Arizona nephew does CS at a big 7. Had to pass a boatload of tests.
Ask each for salary and location info.
Are you parents desiring to pay for UM ? Don’t forget, the last two years cost $4k more.
If you truly believe UM > UCSB, why not split down the middle with Purdue. You get near UM prestige at the UCSB price. The only issue there is you got into engineering it sounds like - and there are no majors there. You decide after FYE.
Good luck.