“household income of $175,000 - $200,000”
You should run the net price calculator on any university before your child applies. If you Google "net price calculator " you will find it.
Your income puts you in the range that need based financial aid is unlikely, but paying $80,000 per year for a private university is very painful.
What can you afford to pay for your child’s education? As one example, if you can afford to pay $40,000 per year, and if a school costs $75,000 per year, the difference is HUGE. There is no way that anyone should borrow $100,000 or more for any bachelor’s degree. This would only be possible at all if the parents co-sign the loans, but even then is a bad idea. The current pandemic and the associated economic downturn is putting some families in a bad way that had borrowed money in the recent past.
For us the most affordable schools were in-state public schools, and universities in Canada. However we live a lot closer to the border than you do so that many Canadian schools are a reasonable drive for us. My understanding is that there are some more affordable universities in the south that we did not look at since we live in the north of the US. We did find some good out of state universities that gave enough merit based aid to help significantly.
It seems very likely that you are going to need to pay close attention to the cost of education in deciding which schools are possible and which schools are not.
If you post more about your child’s stats (such as unweighted GPA) other parents on this web site should be able to suggest some appropriate and relatively affordable schools.