We could get more from Tampa or Minny than the Browns but there is a risk of losing out on the player they have slotted as their guy in the first round.
Snead may opt to trade down and get a second this year and a third and a first next year, which is pretty close to fair trade value to drop to 7 or 8, then use one of the second rounders to move up from 13 who knows. He's a deal maker and if he sees opportunity he will not hesitate. He himself said they go into the draft with the attitude "don't be afraid" so once he makes the first deal he may want another taste and a higher pick.
He could end up with two picks in the top 7-10 and an extra first rounder next year. It's very possible.