Classic. The Bears draft a pass-catching TE with nearly no blocking skills, and whenever he's in the game he has to stay in and help the OL because they suck so bad. Meanwhile, the Bears have a pass-blocking TE with nearly no receiving skills (hint: Spaeth), and he's sent out on pass routes (albeit, not many, but more than Rodriguez).
The better solution would have been to just draft OL and send out Davis or Spaeth on the minimal passing routes.