Let's assume Taylor is closer to Kike Hernandez money. That makes sense to me. They're very similar players who now both have post-season games in which each has hit 3 HRs.
As much as pitchng is the top priority, there really isn't anyone on this free agent market the Sox should be dedicating massive wads of cash to. We talk about Stroman, but will he be looking for Eovaldi money and years? Or will he be looking for Patrick Corbin money? If it's the latter, let someone else have him.
The trade market is probably the better way to go, since free agency largely means paying players in their 30's for whatever they did in their 20's for another team. The Sox would be better off identifying some of those 20-something arbitration eligible pitchers that small market teams are looking to offload to save money. Oakland is an obvious place, with Montas, Bassitt, and Manaea. Also maybe KC (Keller, Junis), Detroit (Boyd, Fulmer), Arizona (Luke Weaver, Caleb Smith), Colorado (Freeland, Senzatela), and the Chicago White Sox (Lopez) might all be looking to move pitchers who are pricing themselves out of their team's budgets. And it is possible Cincinnati (Castillo, Mahle) might be as well, depending on how other arbitration cases work out.
Obviously, every pitcher named here is not a "ace," however you define that term. But I think there are a few diamonds-in-the-rough that could he had cheaply and perform surprisingly...