This pick is extremely difficult for me to make.
First of all, we have no idea who will be left on the board at this point. Seriously; beyond for roughly fifteen first round locks, no one really knows whose name will be called on the first day.
Bleacher Report's own Matt Miller has Tampa Bay taking Mark Barron, an Alabama strong safety. I have no problems with this, but it is somewhat unlikely that Barron will fall out of the first round, given that so many teams need safeties.
Assuming that Mark Dominik already selected Morris Claiborne, the team's top needs are at outside/inside linebacker, running back, safety, defensive tackle, right tackle, and quarterback, roughly in that order.
There are a number of players who will probably go in the first round, but should they make it to No.36, would be perfect for the Bucs. If Doug Martin, the Boise State running back, is still around, he would be a great pick. He'd provide Greg Schiano with the bell cow rusher he has always wanted. Harrison Smith, another safety, could replace the free agent Sean Jones and bring the secondary to a whole new level.
Meanwhile, there are many players who fit the team's needs, but have skill sets more suited for the late 2nd round. Inside linebacker Mychal Kendricks could help move sophomore Mason Foster to the outside. If Dominik decides to draft an outside linebacker, he could pick up Lavonte David, Bobby Wagner, or even Zach Brown. Unfortunately, most of the OLBs left at this point either have low ceilings or are mostly developmental prospects, compared to other second rounders.
Minor needs need not be addressed this early in the draft. The second round is too early for a backup quarterback and too early for a need as small as right tackle. Unless Fletcher Cox, Michael Brockers, or Dontari Poe fall this far, drafting a defensive tackle would not make sense. The value of any other DT would not merit using an early pick on a minor need.
One could make the argument that linebacker is an even bigger need than cornerback for Tampa Bay. Mason Foster may have impressed during his rookie season, but lacks the ability to read an offense before the snap. And though that skill will come in the future, it is necessary for the Bucs to have solid linebackers around Foster to compensate. Last year's OLB combo of Quincy Black and Geno Hayes played like chumps, so the position must be upgraded.
That's why I see Tampa Bay picking up outside linebacker Zach Brown with the 36th pick. He'd provide the most value at this point in the draft, and has the necessary skill set to start from day one.