I've felt for a while that BB would pursue Graham more aggressively than say Branch or Givens, because he's repeatedly said that big, fast, strong guys are the most difficult to find. TE has also been one of the positions he's willing to spend 1st round picks on. I hope and think he's going to try and sign him.
...prompts a thought: perhaps they should value Graham comparable to the way Mark Bavaro was valued, as the two have often been compared (including by Bavaro himself). I don't know if relative salaries for that era are still available publicly, but surely BB knows. The idea would be to value Graham relative to current TE's similarly to how Bavaro was valued relative to his contemporaries. And I bet Graham would be honored by the comparison.