Here is an article to help you think differently about your search: https://www.cbsnews.com/news/graduates-of-these-u-s-colleges-earn-the-most/
Some general comments:
It doesn’t make sense to spend $60K/year for education if you have a career field where the starting pay is going to be $30K/year.
Fulfilling basic requirements at a community college first and then transferring to a 4 year college has several advantages. First it keeps costs down. Second and just as important, during the first two years as you start to take classes you may find that your interests are actually in a career path different than you initially thought. This may change your selection for a four year school leading you to pick one that provides better education for you (new) selected career path.
Don’t ignore private colleges because of their sticker price. Most will offer an aid package of some type that may bring the price down close to the price of a public university. If the college has better success rates in placing graduates in high paying jobs because of their connections, then a slightly higher education cost might be worth it. You can make your final selection after you see if you are accepted and what aid package they offer you.