I got something slightly different. Here's my logic, hopefully I didn't make any errors:
The autos, with their schedules. Bx represents a B-team with the number of Regional runners that ran. NL means no losses to any teams that could potentially get at large. Otherwise, it's the teams they lost to.
NE1-Iona:Syracuse,Villanova@Short, B3@Pre-Nats White, B0@Dual Meet, NL@MAAC, B1@USATFNE
NE2-Providence:Florida State,Tulsa@Notre Dame, B0@New Englands, Florida State,Cal Poly, Cal@Pre-Nats Blue, B3@Central Connecticut State, Notre Dame, Villanova@Big East
MA1-Georgetown:NL@Penn State, NL@Big East
MA2-Penn State:Portland,UCLA,Cal Poly,Weber
State,Colorado State@Dellinger, NL@Penn State, NL@Big 10
SE1-William&Mary:NL@Colonial, B1@Tribe, Florida State@Pre-Nats Blue, NL@CAA, B0@Cavalier
SE2-Virginia:NL@George Mason, BYU,UCLA@Pre-Nats White, NL@ACC, B0@Cavalier
S1-Alabama:B1@Auburn, Portland@Dellinger, NL@Pre-Nats Blue, NL@SEC
S2-Auburn:Iowa State,BYU@Griak, NL@Auburn, BYU@Pre-Nats White, NL@SEC
GL1-Wisconsin:B0@Lakefront, NL@Short, B0@Drews, NL@Big 10
GL2-Michigan: Florida State,Tulsa,Butler,Notre Dame,Florida,New Mexico@Notre Dame, NL@Pre-Nats Blue, B1@Eastern Michigan, NL@Big 10
SC1-Texas A&M:Florida State,Tulsa@Notre Dame, NL@Chili Pepper, Iowa State@Big 12
SC2-Arkansas:Cal@Stanford, NL@Chile Pepper, NL@SEC
MW1-Oklahoma State:NL@Cowboy, B2@Pre-Nats Blue, NL@Big 12
MW2-Minnesota:Iowa State,BYU@Griak,Bx@Drews, Florida State@Pre-Nats Blue, B1@Drews, NL@Big 10, B0@St Johns
MT1-Colorado:NL@Rocky Mtn Shootout, BYU,UCLA,Tulsa,Indiana@Pre-Nats White, B1@Air Force, NL@Big 12
MT2-Northern Arizona:B0@Arizona State, NL@Cowboy, NL@Pre-Nats Blue, NL@Big Sky
W1-Oregon:NL@Dellinger, B0@Hodges, B0@Beaver, NL@Pac 10
W2-Stanford:NL@Stanford, B1@Davis, NL@Pre-Nats White, NL@Pac 10
13 selections remain:
Bubble teams: S3-Florida State 6,MT3-BYU 5,MW3-Tulsa 4,MA3-Villanova 2,W3-Portland 2,GL3-Butler 1,SE3-NC State 0,SC3-Lamar 0,NE3-Columbia 0
Potential Pushers: MW4-Iowa State 3,GL4-Notre Dame 2,W4-Cal 2,S4-Florida 1,MT4-New Mexico 1,NE4-Dartmouth 0, MA4-Princeton 0,SE4-Duke 0,SC4-Texas 0
Others with points (currently blocked):NE5-Syracuse 1, W7-Cal Poly 2, W6-UCLA 3, MT8-Weber St 1,MT7- Colorado State 1, GL5-Indiana 1
S3-Florida State qualifies with 6 points
Florida State:B0@Florida State, NL@Notre Dame, B0@Auburn, NL@Pre-Nats Blue, NC State,Virginia Tech@ACC
MT3-BYU qualifies with 5 points
BYU:Iowa State@Griak, B0@Utah Valley, NL@Pre-Nats White, NL@Mountain West
Tulsa and Iowa State each have 4 points. Tulsa beat Iowa State HTH at Regionals.
MW3-Tulsa qualifies with 4 points
Tulsa:NL@Notre Dame, UCLA@Pre-Nats White, NL@Conference USA
MW4-Iowa State qualifies with 4 points
Iowa State:NL@Griak, B2@Bradley, UCLA,Indiana@Pre-Nats White, NL@Big 12
9 selections remain:
Bubble teams: MA3-Villanova 2,W3-Portland 2,S4-Florida 1,MT4-New Mexico 1,GL3-Butler 1,SE3-NC State 1,MW5-Missouri 0,SC3-Lamar 0,NE3-Columbia 0
Potential Pushers: GL4-Notre Dame 2,W4-Cal 2,MW6-Southern Illinois 0,S5-Tennessee 0,MT5-Air Force 0,NE4-Dartmouth 0, MA4-Princeton 0,SE4-Duke 0,SC4-Texas 0
Others with points (currently blocked):NE5-Syracuse 1, W7-Cal Poly 2, W6-UCLA 5, MT8-Weber St 1,MT7- Colorado State 1, GL5-Indiana 2, SE7-Virginia Tech 1
Villanova, Portland, Notre Dame, Cal each have 2 points. Portland beat Cal HTH at Regionals. Notre Dame beat Villanova HTH at Big East. Portland's only losses on the year are to Oregon and Stanford. Portland beat Cal at Regionals. Cal beat Notre Dame at Pre-Nats Blue. Portland qualifies.
Portland:B0@Willamette, NL@Dellinger,B0@Hodges,B0@Beaver, B2@WCC
8 selections remain:
Bubble teams: MA3-Villanova 2,W4-Cal 2,S4-Florida 1,MT4-New Mexico 1,GL3-Butler 1,SE3-NC State 1,MW5-Missouri 0,SC3-Lamar 0,NE3-Columbia 0
Potential Pushers: GL4-Notre Dame 2,MW6-Southern Illinois 0,S5-Tennessee 0,MT5-Air Force 0,NE4-Dartmouth 0, MA4-Princeton 0,SE4-Duke 0,SC4-Texas 0,W5-Washington 0
Others with points (currently blocked):NE5-Syracuse 1, W7-Cal Poly 2, W6-UCLA 5, MT8-Weber St 1,MT7- Colorado State 1, GL5-Indiana 2, SE7-Virginia Tech 1
Villanova, Cal, and Notre Dame each have 2 points. Notre Dame beat Villanova HTH at Big East. Cal beat Notre Dame HTH at Pre-Nats Blue. Cal qualifies.
Cal:NL@Stanford, B0@Bronco, Cal Poly@Pre-Nats Blue, NL@Pac 10
7 selections remain:
Bubble teams: MA3-Villanova 2,S4-Florida 1,MT4-New Mexico 1,GL3-Butler 1,SE3-NC State 1,MW5-Missouri 0,SC3-Lamar 0,NE3-Columbia 0,W5-Washington 0
Potential Pushers: W6-UCLA 5,GL4-Notre Dame 2,MW6-Southern Illinois 0,S5-Tennessee 0,MT5-Air Force 0,NE4-Dartmouth 0, MA4-Princeton 0,SE4-Duke 0,SC4-Texas 0
Others with points (currently blocked):NE5-Syracuse 1, W7-Cal Poly 2, MT8-Weber St 1,MT7- Colorado State 1, GL5-Indiana 2, SE7-Virginia Tech 1
UCLA has 5 points, but is blocked by Washington. At this point, I need to continue the rest of the process assuming UCLA does not push Washington here. The qualifiers would be Villanova (2 points -this assumes that Notre Dame cannot push Butler), NC State (see below for how they win the 4-way tie at 1 point over Florida, New Mexico and Butler), Butler (see below for how they win the 3-way tie with 1 point over Florida and New Mexico), Notre Dame (only team with multiple points), Indiana (only team with multiple points), Florida (HTH over New Mexico with 1 point), and Washington (picks up a point for beating Florida). While Washington would qualify in the final spot, UCLA would not qualify, so this chain of selections is scrapped, and UCLA is allowed to use the push here.
Washington:Regular season results not used since pushed
UCLA:B0@Stanford, NL@Dellinger, NL@Pre-Nats White, NL@Pac 10
5 selections remain:
Bubble teams: MA3-Villanova 2,W7-Cal Poly 2,S4-Florida 1,MT4-New Mexico 1,GL3-Butler 1,SE3-NC State 1,MW5-Missouri 0,SC3-Lamar 0,NE3-Columbia 0
Potential Pushers: GL4-Notre Dame 2,MW6-Southern Illinois 0,S5-Tennessee 0,MT5-Air Force 0,NE4-Dartmouth 0, MA4-Princeton 0,SE4-Duke 0,SC4-Texas 0
Others with points (currently blocked):NE5-Syracuse 1, MT8-Weber St 1,MT7- Colorado State 1, GL5-Indiana 2, SE7-Virginia Tech 1
Villanova, Cal Poly, and Notre Dame each have 2 points
Notre Dame beat Villanova HTH at Big East. Cal Poly beat Notre Dame HTH at Pre-Nats Blue. Cal Poly qualifies.
Cal Poly:B0@Stanford, NL@Dellinger, B0@Cal Poly, NL@Pre-Nats Blue, NL@Big West
Notre Dame and Villanova each have 2 wins, but Notre Dame has beaten Villanova HTH. At this point, I will assume that Butler and Notre Dame will both qualify if the push is not used. But if this does not happen, I must return to this point and allow Notre Dame to push Butler.
Villanova qualifies.
Villanova:Syracuse@Short, NL@Penn State, Notre Dame@Big East
3 selections remain:
Bubble teams: S4-Florida 1,MT4-New Mexico 1,GL3-Butler 1,SE3-NC State 1,MW5-Missouri 0,SC3-Lamar 0,NE3-Columbia 0, MA4-Princeton 0, W8-Arizona State 0
Potential Pushers: GL4-Notre Dame 3,MW6-Southern Illinois 0,S5-Tennessee 0,MT5-Air Force 0,NE4-Dartmouth 0, MA5-St Josephs 0,SE4-Duke 0,SC4-Texas 0
Others with points (currently blocked):NE5-Syracuse 2, MT8-Weber St 1,MT7- Colorado State 1, GL5-Indiana 2, SE7-Virginia Tech 1
Still assuming Notre Dame will not push Butler, Florida, New Mexico, Butler, and NC State each have 1 point. Butler beat Florida HTH at Notre Dame. NC State beat Butler and New Mexico HTH at Pre-Nats Blue. NC State qualifies.
NC State:NL@NC State, NL@Pre-Nats Blue, NL@ACC
Since Butler beat Florida and New Mexico HTH, Butler qualifies.
Butler:NL@Notre Dame, Notre Dame@Pre-Nats Blue, NL@Horizon
Notre Dame qualifies, so not allowing them to push Butler in was correct.
So if I figured everything right, bids by region are: W 7, GL 4, MW 4, MA 3, SE 3, S 3, MT 3, NE 2, SC 2