Edited May 14, 2022 at 1:07 a.m.
Quoting: Windjammer
If they did go full rebuild, I would think they forgo taking players like Brown and Brannstrom, that they don't need and likely go for the best picks/prospects they could get. So, something around Greig and the pick and probably something else.
Here's the thing, looking at the Jets roster, I don't think they should go into a full rebuild, but rather a retool to try and fix the team's defence, and with the retool, I think the two most likely players to get traded from the team are Scheifele and Ehlers. I don't follow the Jets that often so I might be wrong, but I doubt the team trades Wheeler, unless they are ok with trading their Captain, and Connor should definitely be an untouchable.
Now you said you wouldn't take the likes of Brown and Brannstrom in a full rebuild, which is can be true, however, I think Brown can be valuable to the team as he is a very good 3rd liner, but during the retool he would take a top 6 spot until the Jets forwards like Perfetti and Vesalainen have fully developed. Brannstrom I figured since, again I could be wrong, I don't think there are many puck moving defenders on the Jets team, so I figured why not place him in the trade.