One of best turn cards for us, if it was just HU w/ SB I would go a little bigger than $11, but w/ BB in the hand I agree w/ Savy, I think we can bet a little smaller and still accomplish the same things.
This flop smashes their blind calling ranges pre and I would expect BB to have a good piece of this flop a lot of the time given his c/overcall on flop, not sure how often he does this w/ just 2 overs or whatever.
Bet around $9-10, and check back almost any river other than a ten.