I've got 37 in from 11 conferences.
ACC- Wake, Duke, Maryland
A-10- Xavier, Dayton, St. Joe's
Big East- Syracuse, Pitt, N. Dame, Seton Hall, UConn
Big 10- Wisconsin, Illinois, Purdue, Michigan State
Big XII- Texas, Kansas, Oklahoma, Okie St, Mizzou
C-USA- Marquette, Memphis, Louisville, Cincy
Horizon- Butler
Missouri Valley- Creighton, So. Illinois
MWC- Utah, BYU
Pac-10- Arizona, Stanford, Cal, ASU, Oregon
SEC- Kentucky, Fla, Miss State

There's another 20 automatic bids. That's 57 teams. That leaves eight available slots for these 16 teams (in order of RPI):

Alabama
Auburn
LSU
Colorado
Indiana
UNLV
BC
St. Louis
Texas Tech
Tennessee
UW- Milwaukee
DePaul
Wyoming
Providence
NC State
Minnesota