A point to consider: West Virginia has already rejected adding a school in the Mountain Time Zone as they would then have to travel between three time zones during the week for games.
A reconstitution of the Big 12 would need to be either to the east or the west, but not both. Add and poach BYU, UNLV, Arizona and Arizona State to the west, or Cincinnati, Louisville (basketball), and two other (Florida?) schools to the east, ETC. If we go west to BYU, expect WVa to leave. We also could consider former Big 8/12 schools - Nebraska, Colorado, Missouri, who are not successful in their new conferences. See my new thread.