And important hint: You cannot translate “Mittlere Reife” or “Realschule” literally to “middle school”. It has a completely different meaning in the U.S.
In the U.S., there is a grade progression from elementary school, which is Kindergarten (Grade K - think of it as “Nullte Klasse”) through approx. Grade 5, followed by Middle School (Grades 6 through 8), and then High School (Grades 9 through 12).
Typically, “everyone” will have attended Middle School, because that’s what schools for that age/grade range is typically called. You absolutely don’t want a U.S. reader to misunderstand, that you dropped out of school after 8th grade!
Let me just confirm:
After graduating Realschule with “Mittlere Reife”, you then enrolled into a Gymnasium for year 11 and 12 to graduate with “Abitur” (equivalent to a High School diploma)?
In that case, this is probably way too confusing to relate to a U.S. reader, at least at that level of detail. You could summarize it that you…
“…graduated with the German 10-year ‘intermediate’ secondary school diploma, then successfully transferred into senior high school, graduating with Germany’s 12-year “Abitur”, the pre-requisite to attend university.”
Now - as far as “Ivy’s”, the chances are already very low for everyone, even for those with a straight-forward educational journey. Beyond that, someone must have some exceptional qualities/background, to make that student a “must have” for that university.
So you should definitely widen your circle and identify ANY colleges that do meet “full need” for international students.
But - to be completely honest, I think at the end you most likely will be attending university in Germany – which actually is a great opportunity that very many from this country would love to have (given the minimal administrative enrollment fees).
If anything, maybe there are opportunities for you to take some of your semesters in France, or Ireland (I don’t know how fees for E.U. citizens work within the E.U.)