In my opinion, the best reliever in this free-agent class who is still available is Collin McHugh. The 34-year-old has experience as a starter, a middle innings guy, and a late-inning reliever and has done well in all three roles.
McHugh had an excellent six-year run in Houston where he transitioned from a starter to a really useful and reliable reliever. After opting out of the 2020 season, McHugh pitched with the Rays in 2021 and had his best year yet.
He went 6-1 with a 1.55 ERA in 37 appearances. He allowed just 6.8 H/9, 1.7 BB/9, and struck out 10.4 K/9. As a former starter, McHugh was relied upon to go multiple innings in a lot of his appearances and even served as an opener seven times. He threw 64 innings in his 37 appearances, pitching in a variety of different roles.
If the Blue Jays were to sign McHugh, I’d want him in a similar role. If they don’t sign a fifth starter he can serve as an opener if needed. He can serve as a long man if a starter has to get pulled early. He can also serve as a late-game bridge to a guy like Romano or even Jansen.
McHugh can be relied upon to get both righties and lefties out. Lefties slashed just .163/.230/.213 allowing no home runs in 80 at-bats. He can get any hitter out in any spot anytime.