High Family Income w/ a catch... do I have a high EFC?

Maybe generosity to home country and parents can be reinterpreted. Your ability to continue this tradition of generosity is probably related to your educational prospects and future earning potential as a college graduate. Perhaps while you and your siblings are in college, they might modify their approach to giving by taking a longer-term view of things?

A 3.5 GPA plus 26 ACT would get you a full ride at Prairieview, regardless of parental income. 3.25 GPA gets you full tuition. So my advice would be to work on that GPA. You are within striking range!
(assuming these numbers pertain to unweighted GPA but not sure).

See here for info on Prairieview as well as other options that you might qualify for.

http://automaticfulltuition.yolasite.com/