I'd be shocked if the White Sox don't end up with one of Rodon, Aiken, or Nola, in that order. The only reason why Aiken is a possibility is because of how polished he is as a pitcher and the fact it isn't unrealistic to think he could be up in the big leagues by his 21st BDay if everything goes right, and he definitely has some Clayton Kershaw to him.
I think Rodon is the favorite in the org. because he is a legit no. 1 pick talent and fits into the compete soon timeline. Hell, I could see him offered a somewhat similar deal to Chris Sale where if he signs around slot, he'll get a chance with the MLB team this season. And that could really intrigue anyone who is as much of a competitor that Rodon is.
If Kolek is the pick, I would not be a fan. With him throwing well across his body with his type of velocity, it just screams a career full of arm injuries to me. You couple that with him not being even that polished of a pitcher yet, I don't see how he fits with the White Sox timeline. Now, I completely understand every pitcher is a risk and some guys will last forever with terrible mechanics and other guys with perfect mechanics will never stay healthy.
Hopefully with a little bit of luck, Gillaspie or Burdie fall to the Sox pick in the second round.