The final spot on this list goes to another player who is still competing in the playoffs. In 2022, Jordan Montgomery was a Yankee before, rather abruptly, being traded to the St. Louis Cardinals at the deadline. Then, after the Cardinals had a very disappointing 2023, he was again traded at the deadline to the Texas Rangers. The Dodgers should take the opportunity to give Montgomery a long-term home in Los Angeles after what's transpired since the Yankees trade.
This has been Montgomery's first shot to really show what he can do in the playoffs. He made the postseason with the Yankees in 2020 and again with the Cardinals in 2022, but only pitched a total of 6.2 innings in two games. However, this season, like Nola, Montgomery is having himself an impressive 2023 playoff run. In four starts and 22.1 innings pitched for the Rangers, he's given up only six runs, showing that he can handle the big stage. As for the regular season, he has made at least 30 starts in each of the last three seasons while maintaining a sub-4.00 ERA.
If Snell proves too difficult to sign, then Montgomery would be an excellent left-handed alternative to pivot their focus on.