Clearly if leftbto his own devises and given enough time, price will let the situation fester in his head and negatively affect his performance. Hence the history of folding like a cheap suit.
In my mind, the bullpen is perfect for him in the playoffs. From the time the phone rings until he goes into a game, he does not have sufficient time to work himself into a panic, therefore he just goes in the game and pitches to the best of his abilities without all the drama between his ears.