Probably Case. However, I'd doubt the degree would carry that far, at least initially, if you don't get grades/class ranking.
As for the transferring thing, good point-if you do well. I've heard that Case used to be ranked a bit higher in the past, so that might have something to do with it.
Have any of these schools offered you money?
Case is expensive, and I'd probably be hesitant to go if you have a cheaper option elsewhere with a similar job outlook.
I doubt the job outlook from Case is sufficiently bright enough for most of the class to justify the high cost of attendance. You probably need to be in the top 20% or so to get the higher paying job offers, I'd imagine.
Can you get in-state tuition at Pitt or Cinci for your 2nd and 3rd years? I would look into their residency requirements if you haven't already.