Interesting spot Steve, any decision here is really dependent on villains image and to a lesser extent, your image. So reads are critical.
I do like to check behind this spot more often than not(Against a 40/10/1 station I bet for value). You may be ahead but your hand is weak and this is a good spot for draws with lots of equity to semi bluff check raise, but those hands lose a lot of their equity if they whiff the turn.
As played, If he"s a competent non maniac player , and you have"nt given him reason to adjust his ranges, I may just fold to flop cr, you are often behind, seldom way ahead and likely facing a decent turn lead.
The turn lead is small and could equally be, a made flush or scared of the flush type hand, it does offer decent odds to hit your draws. Problem is, its unlikely you stack him if you hit and you may even get stacked yourself should you hit. Basically from the flop check raise on you are in a spot where you will win a small pot or lose a big pot. By checking the flop the hand is so much easier to play.