boring blind play

[manpower]

This is the type of hand you don't really second guess after the play, but I'm curious to get some feedback about this hand, specifically whether anyone bets out at any point. I was considering it on the turn, but decided the pot was too small to bluff into.
Party Poker 2/4 Hold'em (9 handed) converter

Preflop: Hero is BB with T[img]/images/graemlins/heart.gif[/img], 5[img]/images/graemlins/spade.gif[/img].
UTG folds, UTG+1 folds, MP1 folds, MP2 folds, MP3 folds, CO folds, Button calls, SB completes, Hero checks.

Flop: (3 SB) 4[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, Button checks.

Turn: (1.50 BB) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, Button checks.

River: (1.50 BB) K[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, <font color="#CC3333">Button bets</font>, SB folds, Hero folds.

Final Pot: 2.50 BB

It's dull yeah, but we see so many hands where it's "AA on the button" and very few much more common situations that I think a lot of people may be misplaying. So what do you think, shoot one at this pot on the turn or river?