Tulane.edu, tulane.net, tulane.org & about 15 other sites link to the non-www version.
Worcester, ETSU & AIC (along with 3-4 others) link to https version
Also:
etsu.edu/crhs/aslp/audiology/resources/default.aspx is 404
lakeerie.edu has https issues of their own so the page is missing
In my full look I saw 145 edu links to your site. Of these, hastingscenter looked like it was removed. That leaves 132 unique EDU links.
Of the 132, 108 are not indexed according to SEOTools.
Of the remaining 24, 9 are Worcester, Tulane or AIC.
Accounting for duplicates I see ODU, Setonhill, HamptonU, Pihma, mmm.edu, stanbridge, ccac, lec.edu and lakeerie.edu that should be in Search Console.
You should see some of the remaining 15 in Search Console though. Not sure why you aren't seeing as many are older links.