With these 16 and the 4 declared sites for Regional, here is how it could be organized:
#1 Baylor, #2 Oregon, #3 Oregon State, #4 Texas A&M play for Portland Regional.
#1 Notre Dame, #2 Stanford, #3 Iowa, #4 Iowa State play for Chicago Regional.
#1 Connecticut, #2 NC State, #3 Maryland, #4 Marquette play for Albany Regional.
#1 Louisville, #2 Mississippi State, #3 Miami, #4 South Carolina play for Greensboro Regional.
Mine only had 3 teams playing in a remote Regional:
Baylor plays a long way from Waco, but there is no regional nearby and the West is sparse.
Stanford plays a long way away, but that is because there are two #2's and no #1 out West.
NC State plays a ways away, but there is a cluster in the Southeast and no #2 in the Northeast.
At any rate, it is fun to think about. Hack away. I'm sure there are mistakes in my scheme.
Mine seems to make a lot more sense that this one by Charlie Creme which has at least 11 teams playing in a remote Regional:
http://www.espn.com/womens-college-basketball/bracketology.
#1 Notre Dame, #2 Oregon, #3 Iowa, and #4 Marquette playing for Portland (3 remote).
#1 Louisville, #2 Stanford, #3 Maryland, #4 Texas A&M playing for Chicago (3-4 remote).
#1 Connecticut, #2 Mississippi State, #3 Miami, #4 Iowa State playing for Albany (3 remote).
#1 Baylor, #2 NC State, #3 Oregon State, #4 South Carolina for Greensboro (2 remote).