25NL: KK vs loose player

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Villain is 50/5-ish, but not (as far as I could tell) a complete station. He got his big stack when he flopped top set with TT, check-called the flop (as the pre-flop raiser), and check-min-raise/4-bet ai on the turn.

How's my line?

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Button ($68.30)
SB ($24.75)
BB ($23.25)
UTG ($91.40)
Hero ($26.15)

Preflop: Hero is MP with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $1</font>, Button calls $1, <font color="#666666">2 folds</font>.

Flop: ($2.35) 8[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $2</font>, Button calls $2.

Turn: ($6.35) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $4.5</font>, Button calls $4.50.

River: ($15.35) 9[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $6</font>, <font color="#CC3333">Button raises to $60.8</font>, Hero folds (with about $12.5 behind.)

Final Pot: $27.35

[LouderThanBombs]

You don't beat much so easy river fold, trouble is your river bet looks really weak so he could be raising a wide range of hands, obv less likely if he's a station.

I bet $10-$12 on river fold to raise or just check fold since every draw he could have has hit.

[bozzer]

do we need to block the river if he's passive?