I divided the institutions into four groups: (1) the South (2) elite private institutions outside the South (3) public institutions outside the South and (4) other private institutions outside the South. The distinction between elite and others was made by expert judgment (aka my off the top of the head impressions). All of the public universities included were "flagship" state universities. They covered a wide geographical range, from Maine to California (Berkeley). The average vote shares in the four types:
Roosevelt Hoover Thomas Foster
Southern 72% 17% 10% 0%
Elite private 17% 63% 19% 1%
Public 31% 48% 20% 1%
Other private 24% 42% 33% 1%
The actual vote in the election was 57% for Roosevelt, 40% for Hoover, 2.2% for Thomas (Socialist) and 0.3% for Foster (Communist). Support for Hoover was much higher in elite private universities than among the general public. Hoover's share in other universities was pretty similar to the popular vote for their region (Hoover got 42% of the vote outside the South but only 19% in the South).
Support for Thomas was much higher in all types of universities than in the general public. I expect that most of his supporters would have gone for Roosevelt as a second choice, and might picked Roosevelt if they were really voting, since third party sympathizers often are swayed by "don't waste your vote" arguments. Nevertheless, the Socialist party does seem to have been a serious rival to the Democrats on college campuses at that time.
PS: I have put the totals for individual colleges in an Excel file.