I've found that players who do this against me, can get me off balance.
I do best folding here. Times I call I'm usually up against Top 2 and a better flush.
When I fold, it's against a naked nut flush draw and I'm kicking myself when they don't get there on the river and I folded the best hand.
But - for me, I have a difficult time interpreting these plays (though I make them myself), so I try to take the weak man's way out.
I don't think that's really helpful other than...I feel ya man.