I was interested in your question and looked into it:
Top 40 public universities by research expenditures:
University of California, San Francisco – Medical center, no football
University of Michigan, Ann Arbor – FBS (Big Ten)
University of Washington, Seattle – FBS (Big Ten)
University of Wisconsin–Madison – FBS (Big Ten)
UCLA – FBS (Big Ten)
UC San Diego – No football program
UNC–Chapel Hill – FBS (ACC)
Ohio State University – FBS (Big Ten)
Georgia Tech – FBS (ACC)
University of Pittsburgh – FBS (ACC)
University of Maryland (CP & Baltimore) – FBS (Big Ten)
University of Minnesota (Twin Cities) – FBS (Big Ten)
Texas A&M University – FBS (SEC)
University of Texas MD Anderson – Medical center, no football
University of Florida – FBS (SEC)
Penn State University – FBS (Big Ten)
UC Berkeley – FBS (Pac-12, joining Big Ten)
University of Texas at Austin – FBS (Big 12)
UC Davis –
FCS (Big Sky)
University of Arizona – FBS (Pac-12, moving to Big 12)
Arizona State University – FBS (Pac-12, moving to Big 12)
Indiana University (Bloomington) – FBS (Big Ten)
Purdue University – FBS (Big Ten)
Michigan State University – FBS (Big Ten)
Rutgers University – FBS (Big Ten)
University of Illinois Urbana–Champaign – FBS (Big Ten)
UT Southwestern Medical Center – Medical center; no football
University of Alabama at Birmingham (UAB) – FBS (AAC)
University of Utah – FBS (Pac-12, moving to Big 12)
University of Virginia – FBS (ACC)
University of Cincinnati – FBS (Big 12)
University of Colorado Anschutz Medical Campus – Medical center, no football
University of Iowa – FBS (Big Ten)
University of Colorado Boulder – FBS (Pac-12, moving to Big 12)
North Carolina State University – FBS (ACC)
University of Nebraska (Lincoln & Medical Center) – FBS (Big Ten)
UC Irvine – No football program
Virginia Tech – FBS (ACC)
University of Georgia – FBS (SEC)
Oregon Health & Science University (OHSU) – Medical center, no football