The three names that get bandied about in our area of the first round are Hague, Foote, and Brannstrom.
They're all good in their own right: Hague's strengths and issues are noted above. Foote has pedigree and is big, dependable, capable, and unremarkable (like the Nolan Patrick of the blueline?). Brannstrom is way more exciting to me for the dynamism, skills, IQ, and speed. Unless Liljegren or Makar or Heiskanen drop significantly, I can't see Tampa Bay passing up on Brannstrom.
One or two of Lias Andersson, Kailer Yamamoto, Elias Petersson, Martin Necas is also likely drop to be around our spot just by virtue of being European or small, but highly skilled/speedy/smart. Juuso Valimaki would also be a fun pick (defensively responsible, but can really hold the puck).