your subject line is very misleading and perhaps indicative of your improper thinking IMO.

This is NOT a big draw. All you have is TP2K with a king high flush draw that would be made with 4 to the flush on board. This is not a good spot, and not a big draw. I don't mind raising the flop, but I'm folding here on the turn. There's just no reason to put a lot of money into this hand. Fold the turn.