Villanova, Uconn and BC have all benefited from the immense publicity that their athletic programs have attracted. How much of a benefit? Enough to know it mattered. I doubt anyone can quantify it that accurately.
E.g., would the state of Conn allocated as much for the capital fund if not for men's and women's basketball? I guess you'd have to query the sponsors of the bill, their constituents, etc. That's tough to do.
With respect to the schools you mentioned in california, none is considered to be a flagship. UC irvine, uc davis, uc sb , uc san diego are the top uc schools not in bcs or fbs for that matter. There are reasons they don't compete in high level athletic conferences, namely their purpose, the rise of ucla as a commuter school, ucla's relationship with the uc system, etc. So the UC system flagships, Cal and UCLA do compete in bcs athletics. After that, its tough to find any PUBLIC universities ranked ahead of UConn in US News.
UVA, UNC, Ill, Penn State, tO$U, Michigan, Texas, Cal, UCLA, FLA, AtM, Pitt, Washington, Wisconsin, Maryland, Georgia Tech, UCONN are the top 20 publics. There is a commonality, namely they all compete in fbs. That's 17 out of 20 of the US News top 20 public universities. Only 4 in the top 20 not in fbs are the 3 UC' mentioned above. Odd # because of us news' ties.