I bet on the flop because they both checked. There was no re-raise, so I thought maybe neither of them had K? Then I started second guessing myself. I don't like betting big just to keep up the image that I have something good (and to see what they have) when the odds seem to be pretty good that I'm beaten. I feel like I lose a decent bit of money doing this. Ideas?

PokerStars No-Limit Hold'em, $0.02 BB (9 handed) converter

SB ($3.09)
BB ($1.96)
UTG ($3.91)
UTG+1 ($4.05)
MP1 ($4.21)
MP2 ($0.86)
Hero ($1.59)
CO ($2.30)
Button ($2.85)

Preflop: Hero is MP3 with Q, Q.
UTG raises to $0.1, 3 folds, Hero raises to $0.18, 1 fold, Button calls $0.18, SB calls $0.17, 1 fold, UTG calls $0.08.

Flop: ($0.74) K, 7, 5 (4 players)
SB checks, UTG checks, Hero bets $0.24, Button calls $0.24, SB calls $0.24, UTG folds.

Turn: ($1.46) 2 (3 players)
SB checks, Hero checks, Button bets $1, SB folds, Hero folds.

Final Pot: $2.46

Results in white below:
No showdown. Button wins $2.46.