Ugly Turn Spot

[Mr_Pathetic]

All of us at this table were playing something like 24/18/3 or 20/17/3. In between that. This guy raises every button and this time I figured I would 3bet him since he could have a low pair or SC. I was pretty sure I was ahead till turn and I couldn't figure out what to do on turn. Do we put our whole stack in here or what? I really think this is a shove for but I am not sure. What range of hands would villain play like this?

Note stack sizes.

Poker Stars - No Limit Hold'em Cash Game - $0.05/$0.10 Blinds - 6 Players - (LegoPoker Hand History Converter)

Hero (SB): $17.25
BB: $17.80
UTG: $13.40
MP: $16.95
CO: $9.10
BTN: $14.50

Preflop: Hero is dealt K[img]/images/graemlins/heart.gif[/img] J (6 Players)
3 folds, <font color="red">BTN raises to $0.20</font>, <font color="red">Hero raises to $0.80</font>, BB folds, BTN calls $0.60

Flop: ($1.70) J[img]/images/graemlins/heart.gif[/img] K 3 (2 Players)
<font color="red">Hero bets $1.20</font>, BTN calls $1.20

Turn: ($4.10) 5 (2 Players)
<font color="red">Hero bets $2.80</font>, <font color="red">BTN raises to $6.50</font>, [i]Hero???