You could share data on the college, like the median SAT score of admits or the admissions rate.

And I'm not entirely sure that omitting colleges entirely would be such a bad idea. Colleges apply selective admission criteria all the time, for athletes and legacy admits. Skills based screening would probably work better.

Well, then you have to account for certain jobs and hobbies being coded, as well as word choices in the personal statement. Once you blank all that out, though, we should be good to go.