5/10 stars overpair in an uncomfortable spot

[gomberg]

full table pstars 5/10. I had recently doubled up and won some pots. I had opened to $40 first in late and shown A9o and AA. Whole table was pretty deep, half of them regulars who were on the tighter side.

I get dealt red KK and open for $40 in CO. SB (tight regular who covers me) calls, BB ($1200) calls. BB I haven't seen too much of, but seemed fairly aggressive.

Flop ($120) Q8c3c. Checked to me, I bet $80, SB calls, BB min-raises to $160 - what's my best move here? I decide to see a turn w/ position and call. SB folds.

Turn ($520) 2o. BB bets out $250, Hero...

This is a tough hand because I have no reads on this player and I don't regularly play this stars game, so don't even know what an "average" player is doing here. In addition, if I call, he'll have less than a pot sized stack left on the river and I'm not sure what cards I want to see.

also: I had been aggressive w/ my good and great hands lately and passive on draws if that matters at all for what he's thinking of my hand.