The question is "Is Jamal Adams the final piece to the puzzle for a Super Bowl?". If yes, then trade for him, if you aren't certain play the game until the Jets finally say okay what will you offer for him. For me, I wouldn't give up a 1st round pick until I knew I had Dak under contract for at least 4 years. Dak on the franchise tag only is still to much a risk going into 2021 (assuming we have a 2020 season). Now giving up a 2nd and 3rd, I could handle but still wouldn't be extremely happy on it because next year you are going to have to extend Adams.
As to players being traded with a pick, just depends on which players. I wouldn't give up any game breakers on offense and that includes Cooper, Gallup, Lamb, Elliott, Pollard or Dak. Maybe Connor Williams as they still need interior line help and combine with say Crawford, Armstrong, and Joe Jackson/Jalen Jelks (either one) plus say a 2nd or better yet just a 3rd would be ideal. Doubtful probably but that is what I would shoot to do.