Obviously injuries (and trades) will play a huge part in this prediction. But my first attempt would look something like this:
AAA: CF. Rodriguez, Kuehner, Crow, Hunt. Possibly Wichrowski and Hardin. And Cornielle if he re-signs as a minor league FA. Of course a MLB ready pitcher (Patrick, Myers, Henderson) could start here based upon the big league pitching staff.
AA: DeBerry, Birchard, JD Thompson, M. Rodriguez fee like likely core starters here. Then either Wichrowski or Hardin if they repeat. Tanner Gillis, Travis Smith, and Will Rudy are possibilities too.
A+ (Wisconson): T. Smith, Sam Garcia, Letson, Meccage, M. Hernandez, Jacob Morrison and Andrew Healy could start at low A and bump up, or start here. Potentially Wande Torres and any one of the arms that I have at WIlson below. Also factor in that Josh Knoth, Yorman Galindez and Jason Woodward are all injured and if healthy could see time at high A. Chandler Welch could be here as a reliever along with B. Rivera and I guess Bjorn Johnson whose development I still don't get.
A (Wilson): likely may see repeats of several of the late season debuts, so I assume Dubanewicz, Dorchies, Renz, Mercado, Mercedes. Injuries/Rehab will dictate what we see from Hostetler, Tobias, H. Robinson, Broughton, E. Cortez and D. Corniel. I would also expect that Cairone and maybe Josh Flores will be in the mix with Carlos Carra. Any of the NDFA or college arms (Health, Morrison, Owens, Episcope) could be here as starters or relievers.
ACL: Cairone/Flores/Carra may debut here. In addition I suspect that likely several of the HS drafted pitchers (Vucinovich, Roupe, Bentley, Holden) along with possible DSL pitchers (Mayorquin, Galindo, Colmeranez, Pena). This will be the hardest to predict.