It sounds like if the Jazz do look to sign a taller guard to replace Exum for a year, then Bryce Cotton will be released.
https://saltcityhoops.com/whos-the-starting-pg-for-the-2015-16-jazz/
"Bryce Cotton probably has very slim chances of ever sniffing the starting lineup, but let’s talk Cotton for a minute. Though it seems contrary to say, the Exum mishap might have complicated Cotton’s chances of making the roster. The Jazz may feel like they need to add some outside help now, and if they do, they’re certainly not going to dedicate five roster spots to point guards.
The downside, of course, is that the Jazz have no way of maintaining Cotton’s rights if they cut him. He could be called up — or even claimed off waivers — by any NBA team. But let’s also not overstate what kind of a tragedy that would be. Cotton has had a nice summer, and before that he had a handful of impressive outings at the tail end of last season. But he’s still a borderline rotation player in even the most optimistic scenarios. His gumption and grit are remarkable, but he has an uphill battle, especially if the Jazz add a point guard from outside."
I believe Cotton is as good as gone. Stay with Burke, Neto, and Cotton, and he'll make the roster. But right now the odds seem overwhelming that Cotton will not be playing for the Jazz next year.....