NL50 JJ checking down in 3bet pot

[checktheriver]

Villain is new to the table so no reads. Standard ? By the river I feel that he would have bet any hand that beats me at some point. Would you bet somewhere ?

Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 6 Players
LegoPoker Hand History Converter

SB: $13.25
BB: $43.75
UTG: $34.80
MP: $193.75
Hero (CO): $64.95
BTN: $27.70

Pre-Flop: J[img]/images/graemlins/club.gif[/img] J[img]/images/graemlins/diamond.gif[/img] dealt to Hero (CO)
2 folds, <font color="red">Hero raises to $2</font>, BTN folds, SB calls $1.75, <font color="red">BB raises to $8.50</font>, Hero calls $6.50, SB folds

Flop: ($19) A[img]/images/graemlins/heart.gif[/img] A[img]/images/graemlins/club.gif[/img] 5[img]/images/graemlins/club.gif[/img] (2 Players)
BB checks, Hero checks

Turn: ($19) 6[img]/images/graemlins/spade.gif[/img] (2 Players)
BB checks, Hero checks

River: ($19) Q[img]/images/graemlins/heart.gif[/img] (2 Players)
BB checks, Hero checks