I don't really see them going TE as the first pick, but it's possible. I see C, G, TE, and NT as some positions to zero in on if we aren't looking at a LT early. The nice thing about these positions, is they are all more fillable in the later rounds (excluding a premier LT) so that should give us a lot of options on draft day.
LT, C, and TE seem to be the most immediate needs. So even if we had to trade our two 3rds for that LT in the first, it would still give us a clear shot at a first day interior lineman or TE, just depending on whos available. I would feel better about looking at a TE on the second day than waiting on a C, but we'll see what FA brings and how Hodgdon progresses as a pro. Ideally, Weary's lightbulb would pop on and he would be playing C for us someday, but I wouldn't put money on it.