Live 5-10 turned set facing 3-bet

[onedollars]

No reads on villain. I just sat at the table, and my image is possibly a mix of a rock and weak tight.

5-10 blinds. I open for 30 with 1010 in EP, 4 callers including villain in MP.

Flop: J K x rainbow
Checked around

Turn: 10 that brings a flush draw.
I check, villain splashes 35 into the pot, LP calls, I check raise to 160, villain reraises to 335. I ask him how much he has behind, he has 500. What's my action?

Who likes a lead on the turn and a 3-bet push? As played, do I push or just call?