100NL, Awkward Spot on Turned 2 pair vs unknown

[napkins]

Villain here is unknown, just came to the table a few orbits ago. My image is pretty aggressive, playing at 29/22 or so. Is this an easy push?

My default line of thought here with an unknown is that he's not going to be playing Kx like this and so I couldn't really think of what I beat.

PokerStars No-Limit Hold'em, $1.00 BB (4 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

SB ($185.25)
BB ($105.95)
UTG ($179.25)
Hero ($208.95)

Preflop: Hero is Button with 5[img]/images/graemlins/club.gif[/img], 8[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $3</font>, <font color="#666666">1 fold</font>, BB calls $2.

Flop: ($6.50) K[img]/images/graemlins/club.gif[/img], 5[img]/images/graemlins/diamond.gif[/img], 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $4</font>, BB calls $4.

Turn: ($14.50) 8[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $10</font>, <font color="#CC3333">BB raises to $25</font>, Hero ???