At the college level you have almost achieved your goal at Duck U.  State support of the U of O is in single digit percentages; the football program actually supports many of the other sports, and direct alumni donations and television deals through the PAC-12 are the multi-million dollar cash cows which build the buildings and such.

As far as 'education' is concerned, the program does provide money through scholarships and lots of football players know that they aren't the 1/10 of a percent who will go pro, so they tend to go to 'real' classes.