Yeah you need to just bet flop. As played you should fold turn and definitely river.

The problem with playing the c/c game is that you avail your opponent to three barrel for value with a ton of hands that he'd normally only get a street or two from.

In this hand he can pretty much auto barrel you three streets with K9 and better, which is a huge shitload of hands.

I would advise playing the c/c game with two kinds of hands:

1) very mediocre hands that you plan on only calling one bet with (like second pair). I would even limit this.

2) hands that you can no problem call three streets, like mixing it up with TPTK+ and slowplaying all the way.