Easy tiebreak for the player, really? In our present situation? I can make a case for it - I advocated Teixeria over Prior as an example - but I'm not sure Theo will be feeling the same way.
Let's say, for sake of discussion, that Appel goes into the draft kind of similar to when Prior entered the draft. I think you probably should go with a college pitcher who projects as a #1 starter, unless its maybe like the situation when ARod or Strawberry were up for the draft after HS and had unlimited upsides. Teixiera was a can't miss very good player projection entering the draft, but not like the ARod/Strawberry upsides at the time of the draft.
But, if Appel looks like Prior and Frazier looks like ARod or Strawberry (or Mike Trout today), got to think that Astros are not going to pass on both Appel and Frazier, no? So, Cubs just take whoever is still on the board. I guess this is why it wasn't so terrible to lose games the last couple weeks of last season.