5NL Flop two pair slow down or just right

[BrunoThePug]

http://www.pokerhand.org/?686576

PokerStars No-Limit Hold'em, $0.02 BB (6 handed) pokerhand.org hand converter

Button ($2.99)
SB ($1.44)
BB ($7.37)
UTG ($3.49)
MP ($2.44)
Hero ($2.97)

Preflop: Hero is CO with T[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/spade.gif[/img].
UTG calls $0.02, <font color="#666666">1 fold</font>, Hero calls $0.02, Button calls $0.02, SB completes, BB checks.

Flop: ($0.10) T[img]/images/graemlins/heart.gif[/img], 6[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, BB checks, UTG checks, <font color="#CC3333">Hero bets $0.1</font>, Button folds, SB folds, BB folds, UTG folds.

Final Pot: $0.20

I've got a strong hand here, however there are three villains in the pot who have checked to me. I want to charge the flush draws (correct?) so I make a pot sized bet. However it seems like a situation where I'm not giving people with a worse hand the chance to make a mistake and call a 1/2 or 3/4 sized bet.

Do I give a free card here or make a close to pot sized bet?