I tried to quickly type out how I think this will go. I'm sure a lot of glaring errors exist, but I'm going to try to get a decent bracket projection up by tomorrow afternoon.
SOUTH
1)North Carolina
16) Lamar
8) Notre Dame
9) Iowa State
4) Indiana
13) North Carolina State/Seton Hall
5) Murray State
12) Long Beach State
3)Georgetown
14) Davidson
6) Wichita State
11)Xavier
7) Cincinnati
10) Texas
2)Missouri
15) Long Island
 
EAST
1) Syracuse
16) Stony Brook/Norfolk State
8) Purdue
9) UConn
4) Florida State
13) Ohio
5) Vanderbilt
12) VCU
3)Michigan
14) Belmont
6) UNLV
11)West Virginia
7) Memphis
10) Harvard
2)Ohio State
15) Lehigh
 
MIDWEST
1)Kentucky
16) WKU/Mississippi Valley
8) Gonzaga
9) Saint Louis
4) Wisconsin
13) South Dakota State
5) Temple
12) South Florida
3)Marquette
14) Loyola (MD)
6) New Mexico
11) BYU
7) Kansas State
10) Southern Miss
2)Duke
15) UNC-Asheville 
WEST
1)Kansas
16) UNC-Asheville
8) San Diego State
9) Alabama
4) Louisville
13) New Mexico State
5) Florida
12) Colorado
3) Baylor
14) Montana
6) Creighton
11) Colorado State/Miami
7) Saint Marys (CA)
10) Virginia
2)Michigan State
15) Detroit
Last Four In: Colorado State, North Carolina State, Miami and Seton Hall
First Four Out: Drexel. Mississippi State, Iona and Tennessee
Next Four Out: Washington, Marshall, Mississippi and Northwestern
Edit: I haven't checked for conflicting matchups yet. This is just a guideline to go by.