My choice for the Tigers to sign as their new shortstop for 2022 is Chris Taylor. He'll be playing at 31 next season and should be in the prime of his career. Ideally he holds down shortstop until Ryan Kreidler is called up. Then, I'd like to see Kreidler and Taylor alternate at the position as well as play some second base, third base, and perhaps some outfield too.
In keeping with AJ Hinch's philosophies of having players that can play multiple positions both players would be capable of moving around a bit, although I would hope that they would be the prime shortstop options.