There are lots of ways for a university to pitch themselves as a candidate for conference expansion. Thanks to the Freedom of Information Act, we have an idea about which institutions are favoring a more direct approach.
Jake Trotter of ESPN published a report Tuesday evening that showed, via obtained records, that Memphis, Houston, Colorado State and UCF have made specific pitches to Big 12 administrators, specifically those on the expansion committee (Oklahoma, West Virginia and Baylor).
I have also filed records requests to Big 12 administrators, and while I have not received any records from West Virginia or Oklahoma (and thus cannot specifically confirm this report), I have seen promotional materials from Houston, Memphis and Cincinnati sent to conference administrators.