I can't afford to send my kid to a good uni in the USA, so are European universities alternatives?

I wouldn’t discount community colleges right away.

Many of them offer the lower level classes at a cheaper rate and with smaller classes that your daughter could benefit from. She could transfer to a 4-year after 2 or even one year.

Socially, there would be a big difference between European and US colleges and in the fact that she would be coming back to the states after college.

Could she go part time at one of the schools in your state?