Admittedly this flop is a huge disaster.
You're going to stack to AA/QQQ/JJJ no matter how you slice it, so you should be taking a line/sizing that will make the most out of the hands you beat.
I would probably bet like $4 or something, and hope he puts us on AK and jams any Qx/Jx type hand. He might even jam AK himself over a small bet.