I hope you won this hand but If it was me I would check fold now. I think he has a monster and is letting you bet into him here. No reason for hiom to raise it up and your doing the work for him.
Preflop is raise/reraise /call....so I think K8 or less is out of the question right? Hopefully he has Jacks or Queens and you never know QJs would not be out of the question either. You already put in 13 and the pot is 27 or so. If you bet its going to have to be at least 17-19 to look real and at that point your committed so thats why I would check fold. It might seem weak but I dont want to risk it with a 9 kick and soo many hands are beating you. He may have a K10/KJ/KQ/KA and is planning to check call down as well.
I hope he not giving up lower pockets though..That would be nice

why do you bet the flop?

I think you have to potcontrol either flop or turn.

Villain is 24/18 AF4 fold to 3bet 86%