Im just gonna throw my two sense in and say the extra money is worth it for schools like Harvard, Stanford, Princeton, MIT. But to pay more for others will not probably be a great ROI. However, a $10K differential is not huge. My S had a full tuition ride to Tulane v. full pay to Stanford. So that was $12k v. $60K per year. For that kind of difference I would say you really need to think about it. But $10k/yr isn’t such a big deal, especially if you parents don’t mind. So I would say don’t worry to much and just really visit the schools you get into and think about where you can be your best version of yourself.
Good luck… This is a great time of your life.