@Mr. Bitter I view Arizona, Cleveland, and Washington as the 3 most likely teams looking to trade down in the top 10.  Regarding Arizona, we've seen Ossenfort do it before, and they have holes to fill on the OL and certainly on defense.  And if it happens to be Bailey sitting there at #3, edge rusher is actually not a tremendous need for them.  They could try to move down and pick Mauigoa or Fano imo.  As for Cleveland, they also have proven to play the board, and in what looks like a total rebuild (although the defense is competitive), maybe they just try to pile up the picks.  Tate doesn't profile as the typical top 10 WR (4.50+ 40 time) and that feels rich for Freeling as well.  Lastly, Washington is a pretty simple one, as they are currently without 2nd and 4th Round picks.  I think they'd pick Love in a second if he slips, but apart from that, there's a ton of logic to them trading down.  

Teams that I could see trading into the top 7 include the Saints (Loomis has been aggressive before, maybe they have Bailey considerably higher than Bain), Chiefs (armed with 9/29, could be looking at edge or OL), Cowboys (armed with 12/20 but without a 2nd rounder, could be looking at Reese/Bailey/Styles), Rams (Super Bowl or bust, perhaps Tate?), Ravens (the failed Crosby deal shows they were willing to put picks on the table, could see them looking at OL or edge), and Bucs (you mentioned the need for an edge and I've mocked them Malachi Lawrence in a trade down).