If the green card is expected for the summer, this student could have their I551 in early 2022 and thus legally be in the US then.
They should apply wherever they want with a note indicating their green card timeline, but because the odds are so astronomically low for any international student who needs a full ride whereas this OPs stats would provide them with 1 pretty decent chance at the colleges listed as safety and match, either waiting for the I551 or emailing Admissions at each college to see whether they allow a change of status from international to domestic in the middle of the application cycle, is the safest and likeliest path to admission.
I know it’s bleak. 
