He wasn't a TE. Not really, nor is he an H-back. Didn't line up very often in either role at Pitt, at least not to the degree that you would classify him as one or the other. Nate Byham was the "traditional" TE who lined up alongside a tackle and broke folks so RB Dion Lewis could run wild. Dickerson lined up all over the place alongside Oderick Turner and Johnathan Baldwin and typically blocked downfield and/or ran short underneath routes as a TE normally would. He just did it from the slot most of the time which is why his YPC was low, but he had double digit TD's. I was utterly stunned when he clocked that 40 time because to watch him play week in and week out, he doesn't strike you as a burner.
Now I know there are plenty of pass-cathing specialist TE's in the NFL that can't or won't block, but DD would be really miscast in that role since he did very little of it in college.
I would draft him as a potential #2 WR on a running team that has a small waterbug type feature WR. Carolina fits that bill to a tee (Steve Smith), plus he offers the same skills as an aging Muhsin Muhammed in a slightly bigger package. Denver makes great sense too if Brandon Marshall leaves because Kyle Orton and Bill Stull (Pitt) are very similar QB's. He's exactly the same size (6'4", 230'ish) as Marshall and apparently is a step faster. In fact that's an accurate pro comparison except Dickerson will be a very good downfield blocker and probably won't punch girls or instigate drive-by's.
Either way, he is the type of guy who was off the radar for the most part and was really helped by putting up great Combine numbers.
Also keep in mind that Pitt has a former NFL head coach (Wannstadt) and runs about the closest thing to a pro-style offense as you'll see nowadays from a major college program.
