This is the way that I am looking at this
1st - Fournier is an ok player but not on a very good contract. I am pretty sure that he is the one that we will take. We might be able to flip him for a couple of seconds to a competitor that needs bench scoring. His contract is awful. That in itself is worth compensation. I get that they like Rose and he is a good fit and on an expiring contract.
2nd - They have Barrett, Toppin, Grimes, Quickley, and Reddish as young players that need to be added. I understand that the Jazz are not going to get all of those. I would be pushing for Quickley to be traded as the PG is one of their deepest positions. For me, it is either quickley or Grimes. I understand that thibs loves Grimes but he is the better of the 2 in my opinion so if you keep one there needs to be compensation. I could see that they want to pair Barrett with Mitchell so that means compensation. Toppins seems to be the given and Reddish is never mentioned. He is a decent defender off the bench for them at a valuable position. Toppin seems to be a given so Toppin and Quickley have to be added in and they need to give compensation for not going after Grimes and Barrett.
3rd - I hear that the Knicks don't like the pairing of Brunson, Mitchell, Barrett, and Randle. they are all ball-dominant, primarily Randle. That is not the Jazz concern. He is on an awful contract and they are going to have a hard time moving him. this is going probably need compensation for them to move Randle. Again not the Jazz problem that they gave such an awful contract.
4th - Correct me if I am wrong but the rumors seem to be that the NBA is going to do away with the one-and-done rule. Since CBA expires in 2024 I am guessing that it would affect the 2025 draft class. If this is true that the 2025 class with have the last class of one and done and the high school seniors that would be a class that will have a lot of value and I would value unprotected picks in that class.
all this said I would say picks in 23/25/27 unprotected and 2 of their other picks and 4 seconds with Fournier, Toppin, and Quickley.