"So, here I am frustrated because children of poor families are going to Ivy League (and the like) schools for nearly free. This is an unfair advantage of being poor and I am hereby complaining. "
Your daughter isn’t Ivy-and-the-like material, even if you were poor.
There are NO “unfair advantages of being poor.” It’s rather like complaining that you have to pay for your own ketchup when people in prison get their ketchup for free. Yeah, well, trade places with them if that’s so cushy.
No one forced you to live in the very bestest and most expensive suburb. No one stopped you from putting away money from the time of your daughter’s birth so you could happily afford the full cost of an elite school.