2) Ryne Stanek
Ryne Stanek doesn't get major recognition for the job he's done out of the Astros bullpen in each of the last three seasons but he's been key forming the bridge to closer Ryan Pressly. The Mets could use another arm to help form their bridge to Edwin Diaz, and Stanek would fit in seamlessly.
The right-hander has appeared in 186 games in the last three seasons for Houston, posting a 2.89 ERA in that stretch. That'll work! He's made at least 55 appearances and has thrown at least 50 innings in each of those seasons, proving to be a very reliable arm.
This past season was a bit of a down year for Stanek who posted a 4.09 ERA in 55 appearances and 50.2 innings of work but he posted his lowest walk rate since 2019 and while his strikeouts took a bit of a dip, he was still fanning hitters at an above-average clip, thanks to a 23.9% K-rate.
Stanek is 32 years old which isn't young, but is also six years younger than Ottavino giving them a pitcher they can potentially keep around for more than just the one season at a semi-reasonable price. The Mets will undoubtedly face a lot of competition for his services, but with their obvious need for another bullpen arm it's very possible they end up with him.