I think that AB will definitely get more minutes.Yesterday when Doc was discussing Bradley, my impression was that this was a sink or swim year for Bradley. He also praised AB's D as being NBA caliber now.
Even though Bradley is a tweener in that he has 2 guard skills in a 1 guard body, whom he is paired with could make him very valuable.
As the OP said, Dooling (like Delonte would have been) is a good pairing for him. I also think that E'tuan Moore is a good pairing with him. Both Dooling and Moore have a good handle and can bring the ball up and facilitate, so in the offense, they can play the 1 and AB the 2.
On defense, AB can really pressure the opponents 1 when they are trying to bring the ball up. Dooling and Moore, both a little slower and Moore with more size can defend the 2.
Marquis could also be paired with him in a similar scenario.
I think that both Moore and JJJ gt far more burn than normal rookies under Doc because of their age, maturity and 4 years of college experience.