If we consider which teams have more corner outfielders than they need we may have a hint. The Padres are one possibility but none hold great appeal.
The Reds have Kemp, Puig, Winker and Schebler. They also would be interested in a young starting pitcher who was near major league ready. They are also looking for a spot to play Senzel and have discussed moving him to the outfield.
The Cubs have Happ, Zobrist, Heyward and Schwarber. Also would be interested in a young near major league starting pitcher.
The Dodgers have Taylor, Pederson, Verdugo. Kike Hernandez also is there but he will probably play mostly second. Bellinger too, but he mostly plays first and center. They may move Seager to the outfield at some point. I imagine they are quietly in on Harper and/or Machado.
It seems to me we match up best with the Reds, Cubs and Dodgers when it comes to a potential trade for a corner outfielder.
The Twins are another possibility. They could move Kepler and create more playing time for Cave.