Well, I wouldn't advise deliberately aiming for the Q-high flush draw, but the 'liveness' of a flush draw depends somewhat on the situation...
Just yesterday I played a similiarish hand to the one being discussed... except it was Omaha Hi-Lo, and I had

. I was UTG and limped, as did four others, and the blinds called, so we were six-handed.
The flop came

. The big blind, who was a moron, bet the pot, and I called, as did one other person.
The turn was

. The big blind bet the pot, and again I called; then the third guy raised the pot and was all-in; the big blind called the full amount all-in.
I didn't give anyone KK, and on this occasion I was happy to assume that my spade flush draw was live. The pot was offering me 3-to-1, so I called. If I hadn't had the flush draw, I would have folded (reluctantly).
As it turns out, the big blind had

[for the underset and no redraw] and the other guy had

[made straight and club flush draw], so I was in good shape.
On the other hand, if, in a parallel universe, I had flopped just a queen-high spade draw, I would have folded to a bet.
So, what I'm trying to say is that I think a flush draw that you pick up on the turn is a slightly different beast to the one that you flop. Maybe I played it badly... happy to discuss.