If they want to run a team on a tight budget they can't buy relievers at retail. Instead they need to find some pitchers who have failed in the rotation (ERA around 5) for other teams and convert them to relief. Preference for players with MLB experience. Dakota Hudson was one of my top targets. Other possibilities:
Zach Davies, Jakob Junis, Vince Velasquez, Luke Weaver, Julio Teheran, Kolby Allard, Spencer Turnbull, Brad Keller, Yonny Chirinos, Chris Flexen, Jose Urena, Chad Kuhl, Jake Woodford
This is where the analytics department needs to earn their paychecks. Figure out which ones will be successful if you give them to Pete Maki.