Not sure an 18 team conference makes scheduling sense unless there is a division approach to reduce travel. Gonzaga being in a division with recent West adds works nicely.
Unbalanced divisions have been used in professional sports before, so maybe a 17 team conference playing 18 or 20 games games sense with divisions of: 6/6/5 or 5/4/4/4. The latter format would be a great 20 game schedule where playing every team in your division twice and other teams once:
West (6): Gonzaga, Arizona, Arizona State, Utah, BYU, Colorado
Plains (5): Kansas, Kansas State, Iowa State, West Virginia, Cincinnati
South (5): Houston, TCU, Baylor, Texas Tech, Okie State
or
West (5): Gonzaga, Arizona, Arizona State, Utah, BYU
Plains (4): Colorado, Kansas, Kansas State, Iowa State
Texas (4): Houston, TCU, Baylor, Texas Tech
East (4): Okie State, West Virginia, Cincinnati, Central Florida
With a conference tournament and fact tournament is 64 teams, I don't feel it is important for divisions to be balanced.
Unbalanced divisions have been used in professional sports before, so maybe a 17 team conference playing 18 or 20 games games sense with divisions of: 6/6/5 or 5/4/4/4. The latter format would be a great 20 game schedule where playing every team in your division twice and other teams once:
West (6): Gonzaga, Arizona, Arizona State, Utah, BYU, Colorado
Plains (5): Kansas, Kansas State, Iowa State, West Virginia, Cincinnati
South (5): Houston, TCU, Baylor, Texas Tech, Okie State
or
West (5): Gonzaga, Arizona, Arizona State, Utah, BYU
Plains (4): Colorado, Kansas, Kansas State, Iowa State
Texas (4): Houston, TCU, Baylor, Texas Tech
East (4): Okie State, West Virginia, Cincinnati, Central Florida
With a conference tournament and fact tournament is 64 teams, I don't feel it is important for divisions to be balanced.