Tight end is exactly the type of position you should be looking for later in the draft.
If you are chasing "needs" in the 4th or later you are doing it wrong. You are looking for guys that can just make your team, even as backups.
Some positions seem to have a little more success from the later rounds then others.
Tight ends, Interior lineman (offensive and defensive), running backs, are all positions that you should be chasing a later rounds. They seem to be good value.