Nack,
I misread your condition for white as "White never rolls smaller or equal than a deuce on either die" instead of smaller than.... In other words, condition for white is the complement of the condition for blue.
Here below are my solution with extra features:
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On the left, Blue on roll gets 11 two times bearing off 4 checkers, then 11 bearing off 1-1-2, then 22 bearing off 6 and 2, and 22 on his last roll (bearing off 4 and 4), bargammoning White who keeps fanning with 44.
On the left, White on roll gets 66 and plays Bar/19*/13/7/1. Blue rolls 11 repeatedly while White rolls 66 the rest of the game, winning a bargammon.
On the left, Blue on roll gets 11 two times bearing off 4 checkers, then 11 bearing off 1-1-2, then 22 bearing off 6 and 2, and 22 on his last roll (bearing off 4 and 4), bargammoning White who keeps fanning with 44.
On the right, White on roll gets 66 and plays Bar/19*/13/7/1. Blue rolls 11 repeatedly while White rolls 66 the rest of the game, winning a bargammon.
Pierre