<p>Yes, the OP can apply to Michigan EA and see what kind of financial aid and scholarships comes… but there is no way that Michigan can be considered a safety based on the cost issue, unless there is some large guaranteed-for-stats merit scholarship available.</p>
<p>Princeton EA is SCEA, but only with respect to other private schools in the US that are not rolling admissions; a student applying SCEA to Princeton can apply EA (but not ED) to public schools, schools outside the US, and schools with rolling admissions.</p>