Why, the Harvard website does, and UMich website, and UPenn's, too. As for reading and searching - yes, sure, I have done all that. I know where the professors who work in the same field mostly reside, and have contacted a few. Peabody is one of the safeties for me, as the list of schools where a person with my interest can apply is rather short, and the school has a PhD program with a possible concentration in Higher Education - not so common a thing.
Another point - sometimes a professor is not officially working in the school of education, but in, say, the department of history. That is another reason why I asked the community here whether they know someone. Also, I might have missed a professor; he or she might have been a faculty member in another place when writing a paper, and so on.
Btw, looking for different programs, I found Higher Education: A Worldwide Inventory of Research Centers, Academic Programs, and Journals and Publications by Boston College Center for International Higher Education immensely helpful.
https://www.bc.edu/content/dam/files/research_sites/cihe/pdf/Worldwide_Inventory_full_2015_08_11.pdf