PS 50NL KK bad turn against floater

[Ewalk405]

Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 6 Players
LeggoPoker.com - Hand History Converter

BTN: $47.75
SB: $31.10
Hero (BB): $58.80
UTG: $26.45
MP: $143.95
CO: $117.65

Pre-Flop: K[img]/images/graemlins/heart.gif[/img] K[img]/images/graemlins/diamond.gif[/img] dealt to Hero (BB)
UTG calls $0.50, <font color="red">MP raises to $2.50</font>, CO folds, BTN calls $2.50, SB folds, <font color="red">Hero raises to $7</font>, UTG folds, MP calls $4.50, BTN folds

Flop: ($17.25) T[img]/images/graemlins/heart.gif[/img] 3[img]/images/graemlins/club.gif[/img] 2[img]/images/graemlins/spade.gif[/img] (2 Players)
<font color="red">Hero bets $9</font>, MP calls $9

Turn: ($35.25) A[img]/images/graemlins/club.gif[/img] (2 Players)
Hero checks, <font color="red">MP bets $20</font>, Hero ?

The villian in this hand was 20/13/1.2 through 30 something hands. He was 100% (4/4) on calling cbets though so I am not sure how to play the turn. Do you lead out on this turn then fold to raise? If he calls turn bet, how do you play river? As played what would you do on the turn?