Overall I think you have a very good team. I don't think punting saves is a very good idea; you have a surplus of starters, I'd look to trade Sheets and Myers to try and reel in a couple good closers -- I think your staff is good enough to take the hit.
With your relievers, I'd just keep them going throughout the season and plug-in your aces or starters with good matchups and bench one if you need to.
Your offense looks solid; you should be able to contend if you can find some good save sources.
If you would:
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