Turned Quads in a 3bet pot vs lagtard. What to do?

[d2themfi]

Obv a nice problem to have, but I was absolutely clueless to how to extract this guy's chips. Hes 48/25 over a small sample.

PokerStars No-Limit Hold'em, $2 BB (5 handed) Hand History converter Courtesy of PokerZion.com

UTG ($58.50)
MP ($301.45)
Button ($312.20)
SB ($33.65)
Hero ($342.20)

Preflop: Hero is BB with A[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">Button raises to $6</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $20</font>, Button calls $14.

Flop: ($41) Q[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/spade.gif[/img], 9[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $28</font>, Button calls $28.

Turn: ($97) Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, Button checks.

River: ($97) 9[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero ?

Comments on the turn check and also what should we be betting on the river?