if you dont 3-bet and fill up, im probably check/calling the turn and maybe check/raising the river depending on the card that falls.

and i dont see how 3-betting here has much to do with fold equity...i dont really want a fold here if i 3-bet AI. if hes on a draw, cool, hes an idiot. if he has the flush, nice hand, but you still have plenty of outs.