I would extend this to most, if not all, majors. Go to a regional state university and do well, and you are likely to be admitted in to a good grad school if that’s what you want. Your life chances will very likely depend not just on where you went to college, but a whole host of factors, especially debt.
I work in a hot tech space. No one asks where you went to college, but rather what did you do at your last job. I got a history degree at a public university and an MBA later at another public university. I have never been hired in my space based on where I went to college or grad school.
Go to a decent school at the lowest cost. It’s better than being saddled with ridiculous debt.