400NL - KK semi-deep vs a total donk

[Mossberg]

villain is 52/30/1.9 (100 hands) and has been playing pretty crazy this session. He has been 3betting a fair amount, but I haven't had anything good enough to see him to showdown yet.

In hindsight, I think my small flop bet was silly. He had been playing very aggro/bluffy against me, but I really have no idea how wide or narrow his 4bet calling range is.

Blinds: $2/$4
5 players
Converter

Stack sizes:
UTG: $385.20
CO: $1.003.30
Button: $95.60
SB: $658.00
Hero: $772.70

Pre-flop: (5 players) Hero is BB with K[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/heart.gif[/img]
UTG folds, <font color="#cc0000">CO raises to $15</font>, Button folds, <font color="#cc0000">SB raises to $44</font>, <font color="#cc0000">Hero raises to $148</font>, CO folds, SB calls.

Flop: 2[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/diamond.gif[/img] ($311, 2 players)
SB checks, <font color="#cc0000">Hero bets $98</font>, <font color="#cc0000">SB raises to $196</font>, Hero _____________?