I could envision us trading up in 3 scenarios:
1. Russell doesn't go top 2 & the team picking 3rd decides to stockpile assets by trading the pick for multiple future picks + Burke and/or Hood (which doesn't look like a possibility considering the teams projecting at the top of the draft- maybe PHI given it's recent trade history or NYK/LAL considering how thin they are when it comes to long-term assets, although both need that future star- especially LAL). Personally, I think Exum would have to be included (which, while I think should at least be considered- depending on what else has to be included-, won't be) so I doubt this will happen.
2. Mudiay (or 1 of the other consensus top 3) slips to #5. In this case, the Jazz may be willing to package trey + our pick + future pick (s). No way they consider including Exum in such a trade, but they'd have to at the very least consider pairing the 2 together in the backcourt if it were a possibility.
3. One of Hezonja/Johnson is still on the board around #8. I think if they do move up, it will be in a scenario similar to this one. Somebody could impress in the NCAA tourney or draft combine & jump 1 of these 2. If that happened, I would be surprised if the Jazz didn't attempt to move up a few spots by packing their pick (likely #11 or 12) + a future pick or maybe Hood.
If none of these scenarios present themselves, I expect them to trade down (& collect an extra asset in order to later package it along with other assets in a bigger move) or trade out completely (by packing another asset or 2 for a starting caliber player). Unless they end up needing a backup big, in which case they stay put & take the best one available. Maybe they just stay put anyway & go BPA regardless, but considering the amount of assets we currently have & the progress that the team as a whole has been making recently, I think fit is beginning to become more of a priority. I think this is the off-season that we start condensing assets, as I think we will attempt to become more competitive by adding production & experience rather than potential. While this FO will always be looking to add potential, I think we are are the point where that potential has to coincide with the foundation that is already in place. We need a #1 scorer, a 3 & D wing, & possibly a stretch big (&, depending on the development of Exum/Burke over the summer, a veteran PG- for the short-term). The FO will take whatever the off-season gives it & jump on any opportunity out there to fill these voids.