I'm a fan of the Massey Ratings. I think they do a pretty good job at objectively ranking the teams in various sports. If you review their latest Division III Men's Soccer rankings (through Sunday's games), these are the teams that have the biggest gripe about being left out of the tournament:
Elmhurst (No. 24)
Haverford (No. 25)
Rensselaer (No. 28)
Kalamazoo (No. 31)
Worcester Tech (No. 32)
These are the at-large teams that should be thankful the Massey Ratings aren't relevant:
Dominican (No. 33)
Rochester (No. 34)
Salisbury St. (No. 37)
Brockport St. (No. 51)
Texas-Dallas (No. 60)
Elmhurst (No. 24)
Haverford (No. 25)
Rensselaer (No. 28)
Kalamazoo (No. 31)
Worcester Tech (No. 32)
These are the at-large teams that should be thankful the Massey Ratings aren't relevant:
Dominican (No. 33)
Rochester (No. 34)
Salisbury St. (No. 37)
Brockport St. (No. 51)
Texas-Dallas (No. 60)