Yes, LAX is nobody’s favorite airport, and it isn’t super close to Claremont - about a 50 minute drive. When my daughter was at Scripps, she rented Zipcars several times to do LAX pickups and drop-offs for visiting friends. It wasn’t a nightmare, but it wasn’t something she’d want to do often.
USC could also be worth a look, and that’s much closer to LAX. It’s very interdisciplinary-friendly and has strength in all of the relevant areas. I think the Claremont Consortium more closely fits what you say you’re looking for, but USC would be a bit more accessible and would likely cover the bases as well.