I have seen a number of Bachelors in ID graduates who simply didn’t have the chops to cut it as a designer …
It has been said many times on this board, an education is what you make of it. Personally, wasting a year fulfilling humanities credits for a bachelors seems silly to me.
As for NC State, their website and speaking with their faculty would be much more informative that I ever could be. There are several other 3-year ID programs out in the world, but you will need to find them.