As a EUian: look overseas. Many universities in Europe offer programs in English. It'll be an even mind-broadening experience, and it's significantly more affordable (I'll take this link from 2018 as a baseline: https://www.topuniversities.com/student-info/student-finance... ).
As a EUian, college in your own country could be near free, some fees but heavily government sponsored. For foreign students the pricing model is completely different, in fact this is the college's big cash cow, so that may make the equation very different for those you're so kindly inviting in. I'm all for the exchange experience, though!