Patrick Corbin
With CC Sabathia very unlikely to be given an extension, the Yankees will be looking to add a quality player to the starting rotation alongside Severino and Tanaka. Patrick Corbin being a free agent can be the player who can fulfil all the requirements that the Yankees are looking for in an SP.
Corbin, who is coming off a career year with the Diamondbacks is an NY native and would be looking forward to moving back to NY to play for the team he always dreamt of. Corbin did a magnificent job to increase his value over the past year.
The southpaw threw 200 innings for the D-Backs with an ERA of 3.15 and averaged 11 K's per nine innings. Those are some very impressive figures and matches what the Yankees are looking for. There have been concerns about his Tommy John surgery back in 2014 and when his throw velocity fell last season. But in the second half of the season, he got his fastball velocity back up to around 92 mph and upped his slider usage percentage effectively.
All this being said, Yankees should go after Corbin among others in the free agency.