Nothing appeals to an engineer like data...

And yes I realize it takes all the romance and anecdotal quality out of the question, sorry.
Woodie Flowers (WFFA) winners per team (I decided to remove the WFAs since they are sort of double winners)
3 for team 111
3 for team 116
3 for team 131
3 for team 155
3 for team 188
3 for team 234
3 for team 357
3 for team 365
3 for team 612
3 for team 987
3 for team 1114
2 for team 25
2 for team 27
2 for team 34
2 for team 103
2 for team 126
2 for team 176
2 for team 180
2 for team 217
2 for team 340
2 for team 341
2 for team 353
2 for team 360
2 for team 375
2 for team 418
2 for team 469
2 for team 537
2 for team 668
2 for team 812
2 for team 932
2 for team 1510
2 for team 1538
2 for team 1547
2 for team 1592
2 for team 1675
2 for team 1732
The rest of the singleton counts are in the attachment, as well as totals that include the WFAs.
I couldn't attach the full spreadsheet with names and places, because it was larger than CD allows.
There are a few oddities, for instance when mentors have been nominated by more than a single team.