This is why I think it will be Batherson, Chychrun, and Joseph.
Unless a perfect hockey trade comes, like a less acrimonious version of Subban/Weber or Hall/Larsson, it will be difficult to move players with huge cap hits and recent injury concerns and also get back a big return.
In a perfect homerun scenario, Batherson, Chychrun, Joseph, and Tarasenko nets the team 2-4 first round picks or equivalent value prospects, and multiple 2nd+3rd round picks. It also would add to the cap flexibility next season. Then Staios can go into the offseason and use that cap flexibility and those picks to re-tool the roster.
People will say "oh trade Batherson for a 1st so that you can trade the 1st for another Batherson, what's the point?" - The point is that the current norms of the group are broken and the only way to fix that without a total teardown is to change up as much of the roster as possible and hope that whoever they bring in both on the staff front and on the ice can help re-tool the roster as a group with a culture and mindset that can lead to wins.
It's not so much about who they move, because they won't have complete control over who teams will take. It's about moving enough guys so that they can go into next season with it feeling like a completely different group, and a completely changed organization.