Looking at the standings, honestly the farthest the Jazz would fall is the #12 pick. Notable players in that area: Trey Burke, Alex Poythress, Michael Carter-Williams and C.J. McCollum. I know that Michael Carter-Williams isn't the popular choice with you guys, but if the Jazz could pick him in the 12-14 range I would be estatic.
Carter-Williams is 6'6 and leading the nation is APG with around 8 assists per game, has a very good assist to turnover ratio almost 3/1, widely considered the best point guard in the draft with Burke a close second. I know he has some off the court isssues but he can ball, I know he hasn't been playing good lately but that is good for the Jazz so that he stays in the late-lottery range.