Make it simple. Based on out of conference wins, conference rating and standing, conference tourney performance, and bad losses, the #1 seeds should be UConn, ND, the Baylor/WV winner, and Tennessee.
#2 seeds should be Stanford, South Carolina, Louisville and either Duke or the Baylor/West Virginia loser.
#3 seeds would be either Duke or Baylor/West Virginia loser, Nebraska, Texas A&M, and Kentucky
#4 seeds would be Penn State, Maryland, NC State and North Carolina (unless you feel you HAVE to put another Big 10 team in, in which case put Purdue, Michigan State and Iowa in a hat and pick one!)
Assuming that Baylor wins a close game tomorrow and West Virginia gets the #2 seed over Duke, here’s how the Regions could play out:
On the left side of the bracket…
Lincoln:
UConn
South Carolina
Nebraska
Maryland
Stanford:
Baylor
Stanford
Texas A&M
North Carolina
On the right side of the bracket…
South Bend:
Notre Dame
West Virginia
Kentucky
Penn State
Louisville:
Tennessee
Louisville
Duke
North Carolina State
Only North Carolina would have to travel three time zones. The only region with two #1-4 seeds from the same conference would be Louisville, and Duke and NC State could only wind up playing each other in the Region Final. (if you switch Duke and West Virginia, then the South Bend Region would have two ACC teams but they could only meet in the Region Final. Obviously, you can also flop Baylor and Stanford, or Tennessee and Louisville, or North Carolina/North Carolina State/Maryland without having to change anything else.