I think you misunderstand the US admissions system. First, as noted above, internationals needing a lot of aid have a very difficult time and you have stated that you are an international Asian male who needs a tremendous amount of aid. So no matter how great your academic stats are Lafayette is a reach. Lafayette College is a private institutions and does not have the resources to fund the education of every qualified international (or domestic) candidate .
Second, colleges, especially LACs practice holistic admissions which means that they look beyond academic stats. So a student who has somewhat lower stats may present an essay, recommendation, and/or activities that are particularly compelling to a college and they could get the nod over an applicant with say a higher SAT. If an applicant is a recruited athlete he/she would have an advantage in the admission process. If an international applicant is full pay that would also be a positive in terms of admission chances. Being that we can never see the full admissions file of other applicants, it is would be a waste of time to try to determine why one student is chosen over another.
I don’t think you will get any meaningful answer to your inquiry to Lafayette. You have excellent academic credentials and should move on and seek out affordable options where you can continue your education.