I really want to say I 3bet the flop with a big combo draw, but I'm not sure if that is right. Would I be betting for a value or as a bluff? How tight and how passive is the villain? What better hands fold or what worse hands call? What is my plan if he 4bets? If he calls my 3bet what do I do if the turn blanks? None of that is directed towards you it's just me thinking out loud. I would love to hear what more experienced players have to say about the possible flop actions.
As played, I probably check back the turn and reevaluate on the river. If you decide to fire the blank turn, why not 3bet the flop when you have more equity?
Again, I'm really not sure what the best line is. I'm kind of lost on what we should do. Interesting hand though. Hopefully some more skilled persons will chime in here.