9 handed game, edited for clarity

Btn: Hero ($450)
SB: Seat 2 ($300)
BB: Seat 3 ($800)
SB 2 posts the small blind of $1
BB posts the big blind of $3
The button is in seat #1
* HOLE CARDS
Dealt to Hero [Ad As]
Hero raises to $15
SB folds
BB calls $15
FLOP [As Qh 4s]
BB checks
Hero checks
TURN * [As Qh 4s] [Qd]
BB bets $15
Hero ??

Have been at the table about 1 hour.... BB was an aggro kid who generally came in for a raise, and was sticky once he saw the Flop.

Previous orbit Kid had just stacked OMC by defending BB w/96o vs CO steal. Check/calling GS on two tone Q85 Flop for 2/3 pot bet, then when 7o Turns, check/raising small ot set up Pot Size shove River.

So I think he may be spewy, or perhaps willing to float OOP and then represent Turned Flush, but not sure which yet...

My image may be TAG, but closer to Old Nit.

Standard raise size live was $13-15, and had attempted to steal from my BTN several times earlier.

On the Flop, I have such a strong hand, but I wanted to let him catch up, or think he could bet me off. On the Turn, I was unsure whether he would fold with any draws, or try bluffing twice versus someone with my image.

I am trying to figure out the balance between inducing a spazz and perhaps getting more money in on Turn, versus just letting him barrel off. I am not sure whether a third flush card will kill any action or might induce Aggro Kid to spew.

Any ideas?

TK