40-80 hand at Garden City: TP, meh kicker on a paired flop

[swope]

In middle position, limp with ATo. 2 limpers behind. SB calls, BB checks.

Flop AQQ, rainbow. SB & BB check to me, I check because although Im sure any ace that would beat me would have raised in late position, I have no reason not to put anyone on QT, QJ, etc.

2 limpers check.

Turn is a 6, no flush possible. Checks to me, I bet. 2 limpers behind me fold, SB folds. BB cr's. BB is a very aggro player who is mos def prone to getting out of line. He seems very committed to outplaying everyone else at the table, plus he took down about 4 straight pots by just firing at the flop before this hand.

I....?