Why not just call the turn? I don't know if everyone else agrees with this, but i always think if i'm willing to go all in with my hand (two pair + 2nd highest flush draw...so lots of outs) on the turn, and i'm closing the betting on that round, why not just call and see the river for cheaper then go all in? At least this way you get to see what he does one more time.
I guess I usually don't like to call bets that large. The 6$ bet would have been over 1/4 of my stack. If I call it, and hit my heart on the river, I'm either going to make no $$$ because he will fold his baby flush, or I will be dead agaisn't his A of hearts.

If I call and miss my flush I have to just fold to any bet, because I won't even have a scare card to bet at..

Looking over it again, a push/fold situation seems to be the only option to me.

I just don't ever call in situations like this, unless we were deeper stacked of course.