They've got the Davey O'Brien, the Unitas, and the Baugh trophy for QBs.  I wonder if we can read into any of them by looking at the winners they picked.  I was looking at 2003, as each chose a different QB.
2003:
O'Brien:  Jason White, OU (Heisman winner)
Unitas:  Eli Manning, OM
Baugh:  BJ Symons, TTU
Perhaps the only obvious thing here is that the Baugh went with the big-stats guy.
.
2004:
O'Brien:  Jason White, OU (again)
Unitas:  White
Baugh:  Stefan Lefors, UL
I remember Lefors had a great pass rating.  Interesting the Unitas people passed on White in his Heisman year, but awarded him here.
.
2005
O'Brien:  Vince Young, Texas
Unitas:  Matt Leinart, USC (2004 Heisman winner)
Baugh:  Brady Quinn, ND
Not sure what to make of this season.
.
2006
O'Brien:  Troy Smith, OSU (Heisman winner)
Unitas:  Brady Quinn, ND
Baugh:  Colt Brennan, Hawai'i
Here's the 2nd time the Baugh has awarded the big-stat guy.  
.
2007
O'Brien:  Tim Tebow, Florida (Heisman winner)
Unitas:  Matt Ryan, BC
Baugh:  Graham Harrell, TTU
And here's a trend with the Baugh - big stats.  I wonder if the Unitas is trying to go with the great season+high draft pick idea?  It's called the "Golden Arm" trophy, if that means anything (and I tend to think not, as Tony Rice won it in '89).
.
2008
O'Brien:  Sam Bradford, OU (Heisman winner)
Unitas:  Graham Harrell, TTU
Baugh:  Bradford
Hmmph.  I need to look at more years.  Do you guys glean anything?  I assume you don't care, but any musings?