With Trey Burke locked in as our PGotF, we only have a few holes in the roster to fill - a few role players here and there, maybe a shooter or two, some "glue" guys, etc.
With Hayward being more effective at the 2 than at the 3, and Burks being better with the ball in his hands, I have what I think will be the best way for the Jazz to maximize the talent, potential, and playing time (not to mention rotational effectiveness) of their roster.
Stay with me on this.
Burke starts at poing guard playing close to 30 minutes a night with Hayward starting at shooting guard (35 minutes). We either let Marvin start at the 3 or sign or trade for a "glue" (possibly veteran) guy who doesn't really need offensive touches to thrive and do well - maybe a guy like Ariza, Brewer, or Aminu? DeMarre Carroll could work as well, but his defense is purely based on gambles and he gets burned a lot.
Kanter and Favors start at the 4 and the 5, playing 30-35 minutes each, leaving about 32 minutes for our other bigs - Evans and possibly T-Rob in a salary dump from Houston?
Burks comes off the bench in the James Harden role, filling in at the 1 or the 2, spelling both Burke and Hayward based on the situation. Filling in for both allows him to have the ball in his hands more, it spreads out the offensive firepower so our bench isn't horrible, and it maximizes the minutes Burke, Burks, and Hayward can play at their most effective positions (about 30 for Burks between the 1 and the 2).
We bring in Korver or a similar shooter to come off the bench for 15 minutes a night and knock down some daggers, and BAM!
We have a solid rotation with a good punch off the bench, Burks' effectiveness is maximized by having the ball in his hands more often as a primary facilitator off the bench, and everyone gets valuable minutes. The starting unit is a good mix of offense and defense, with good length at most positions.