What kind of hand do you put him on?
Limp UTG.
Just calls that flop (2 flush) with an A and K out there. 44 would raise that flop and 55-JJ would fold. QQ I can't see limping PF but would fold flop also.

After the flop smooth call I put him on something like JcTc QcJc, AcXc, AQ, AJ.

Turn, nothing changes he's still probbaly just calling with those hands.

River. You get nothing out of JT and QJ. AcTc will call $200. Maybe some lower kickers will also. Ac9c and Ac6c will probably call $400. AQ and AJ $300-$350.

Based on that. I think $250-$300 is a good amount.

Thoughts?