with that many pitching spots, you could just wait until after all-star break to get your innings in. I'd focus on hitting for the first half and only pitch the obvious mismatches like a yanks pitcher verses TB hitting....oops, I'm sorry. TB has been KILLING the yanks!!!!
Seriously, I would only pitch in ideal situations for the first half and then trade some batting for pitching in the second half when you know which pitchers are the real deal.
"My job as a coach is to make you do what you don't want to do so you can become the man you want to be."