Arizona is very likely to be the #1 in the West, so Houston can't go into that region because of conference balance rules. Beyond that, most of the 2s and 3s prefer the Midwest-Chicago (Iowa St, Illinois, Nebraska, Mich St, Purdue, Kansas), East-DC (Florida, Vanderbilt), or West-San Jose (Gonzaga, BYU).
None of the teams' top geographic choice is Houston. Texas Tech is the only team that would, but they're well below Houston in the pecking order. Now the committee still might put a team higher on the S-curve than Houston into the South as their 2nd choice if Midwest is taken, but if location is similar between Houston and that team's 3rd choice, they might just put Houston in the South to minimize total travel anyways, especially if it's better for the bracket integrity. So there's a lot of scenarios where Houston ends up in Houston by default essentially.
Best chance for them not to end up there is probably if Iowa St finished ahead of them on S-Curve on the same seedline but behind someone like Illinois or Purdue who pick Chicago first.