Just listened to Baseball America's podcast regarding unsigned draft picks for every team, and regarding the White Sox, they are convinced that Gardeck will go to college, as well as O'Shea (already mentioned in this thread). They did not mention anyone else than the two remaining unsigned in the top 10 because per their analysis, it would be "not like the White Sox" to spend on the draft. They also mention that JUCO guys are the toughest to figure out, and discuss briefly the lameness regarding MLB's "slot" payouts where the ballplayer is drafted. So.....IMHO the Sox are done signing any more draft picks, unless some late miracle happens for the remaining unsignees.
If you want to listen to the podcast, go here and select the first one for 53 minutes. They start talking about the White Sox around the 24:30 mark. And they only discuss the White Sox for only two minutes.