My nominations:
QB: Ken O'Brien (UC Davis), Don Horn (San Diego State), Rhett Bomar (SHSU), Tre Roberson (Illinois State), Chris Steveler (South Dakota)
RB: James Robinson (Illinois State), David Johnson (Northern Iowa), Ronald Moore (Pittsburg State), Eric Breitenstein (Wofford), Taiwan Jones (EWU), Zach Zenner (SDSU), Herb Donaldson (Western Illinois), Shakir Bell (Indiana State), Brian Shay (Emporia State), Khalid Abdullah (JMU)
FB: Henry Dyer (Grambling), Pete Retzlaff (South Dakota State), Dave Osborne (UND)
TE: George Kittle (Iowa), Dallas Goedert (SDSU), Jim Kleinsasser (UND), Matt Spaeth (Minnesota)
WR: Cooper Kupp (EWU), Vincent Jackson (Northern Colorado), Tyler Lockett (Kansas State), Antonio Brown (Central Michigan), Allan Lazard (Iowa State), Ramses Barden (Cal Poly - SLO), Eric Decker (Minnesota), Haven Moses (San Diego State), Ernie Wheelwright (Minnesota)
OL: Frank Cornish (Grambling), Willie Young (Grambling), Adam Timmerman (SDSU), Jim Langer (SDSU), Spencer Brown (UNI), Trevor Penning (UNI), Tom Compton (South Dakota)
DE: Aaron Smith (Northern Colorado), Ordell Braase (South Dakota), Shelby Harris (Illinois State), Elerson Smith (UNI)
DT: Frank Cornish (Grambling), Kkalen Saunders (Western Illinois), John Ridgeway (Illinois State), PJ Hall (Sam Houston), Xavier Williams (UNI)
LB: Tory Reeder (Delaware), Jim LeClair (UND), Josey Jewell (Iowa), L.J. Fort (UNI), Jake Farley (UNI), Darius Taylor (Sam Houston)
CB: Bob Howard (San Diego State), Luther Kirk (ISU-Red), Makinton Dorleant (UNI), Deiondre' Hall (UNI), Tom Kilfoy (UNI)
S: Jeremy Chinn (SIU), Caleb Schaffitzel (Missouri State), Desmond King (Iowa), Nasir Adderley (Delaware), Dominique Barber (Minnesota)
K: Adam Viniateri (SDSU), Jan Stenerud (Montana State), Errol Mann (UND)
Marching Band: Grambling - they performed at Super Bowl I.
Note: I ran out of time before I could finish a first draft - I couldn't find an "all-time all-NCC team" anywhere either (just as well, I'd probably not be happy that Jeff Bentrim and Chris Simdorn were honorable mentions or something.)
The best team NDSU faced might be the San Diego State team that beat NDSU 36-0 in 1966. They had FIVE players drafted in the first two rounds of the draft.