Here's an idea:

To increase the Beastmaster's defensive capabilities, why not make the new "2 hour" a reverse Snarl while retaining the enhanced stoneskin?

Scenario:

My pet is about to die! Not good for BST! Oh no, still have 30 seconds left on Reward and my moogle drank my last DM! That's right, SE just gave me this new ability to save my hide in an oh-**** situation! *Uses new 2hr* Great, now the monster is focused on me instead! This stoneskin is keeping me alive just long enough to use Reward! *Uses reward* Great my pet is healed! *Uses Snarl* And the monster is back on my pet instead of me, just in time too because the last hit ate right through that stoneskin effect and nearly squished me!