Keep in mind, I cheated a little. With the exception of the Big East and Ivy League I checked out various website to see where they think everybody stood before presumably making a fool of myself.

ACC (7 bids: top 6 + Syracuse)
1 Virginia
2 Duke
3 Florida State
4 UNC
5 Wake Forest
6 Notre Dame
7 Virginia Tech
8 Syracuse
9 Miami
10 Louisville
11 Clemson
12 NC State
13 Boston College
14 Pitt
15 Ga Tech
Big East (6 bids: top 6)
1 Creighton
2 Nova
3 UConn
4 Xavier
5 Providence
6 Marquette
7 Seton Hall
8 St. John's
9 Butler
10 DePaul
11 Georgetown
B1G (9 bids: top 9)
1 Michigan
2 Purdue
3 Illinois
4 Wisconsin
5 Indiana
6 Michigan State
7 Ohio State
8 Iowa
9 Rutgers
10 Maryland
11 Minnesota
12 Nebraska
13 Penn State
14 Northwestern
Big 12 (7 bids: top 7)
1 Kansas
2 Baylor
3 Texas Tech
4 TCU
5 Iowa State
6 Texas
7 Oklahoma State
8 West Virginia
9 Kansas State
10 Oklahoma
Pac-12 (5 bids: top 5)
1 UCLA
2 Arizona
3 Oregon
4 USC
5 Colorado
6 Washington State
7 Stanford
8 Utah
9 Washington
10 Arizona State
11 Oregon State
12 California
SEC (6 bids: top 6)
1 Kentucky
2 Tennessee
3 Arkansas
4 Alabama
5 Texas A&M
6 Auburn
7 LSU
8 Florida
9 Mississippi State
10 Georgia
11 Vanderbilt
12 Ole Miss
13 Missouri
14 South Carolina
Atlantic 10 (2 bids: top 2)
1 St. Louis
2 Dayton
3 Loyola
4 VCU
5 Davidson
6 UMass
7 URI
8 St. Bonaventure
9 Richmond
10 George Mason
11 George Washington
12 St. Joe's
13 LaSalle
14 Duquesne
15 Fordham
American (1 bid: Houston)
1 Houston
2 Cincy
3 SMU
4 Memphis
5 Tulane
6 Wichita State
7 Tulsa
8 Temple
9 UCF
10 USF
11 ECU
MVC (1 bid: Drake)
1 Drake
2 Northern Iowa
3 Belmont
4 Murray State
5 Bradley
6 Southern Illinois
7 Missouri State
8 Illinois State
9 Valporaiso
10 Evansville
11 Indiana State
12 UIC
MW (1 bid: SDSU)
1 SDSU
2 UNLV
3 Boise State
4 Utah State
5 Wyoming
6 Colorado State
7 Nevada
8 New Mexico
9 Fresno State
10 Air Force
11 San Jose State
WCC (2 bids: top 2)
1 Gonzaga
2 St. Mary's
3 BYU
4 Santa Clara
5 San Francisco
6 San Diego
7 Loyola Marymount
8 Portland
9 Pepperdine
10 Pacific
Ivy League (1 bid: Yale)
1 Yale
2 Harvard
3 Princeton
4 Penn
5 Cornell
6 Dartmouth
7 Brown
8 Columbia

The remaining 20 leagues are one-bid leagues.
AE: Vermont
A-Sun: Liberty
Big Sky: Weber State
Big South: Winthrop
Big West: UC Santa Barbara
C-USA: Western Kentucky
CAA: College of Charleston
Horizon: Northern Kentucky
MAAC: Iona
MAC: Ohio
MEAC: Norfolk State
NEC: Wagner
OVC: Morehead State
Patriot: Bucknell
SWAC: Texas Southern
Southern: UNC Greensboro
Southland: New Orleans
Summit: South Dakota State
Sun Belt: Texas State
WAC: New Mexico State

First four out:
Virginia Tech
Washington State
LSU
SMU