KK ZOOM 10nl

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.05/$0.1 No-Limit Hold'em (9 handed)

Known players:
[tg] (Hero)$19.25:///////;SB$12.38:///////;BB$41.28:///////;[/tg]

Preflop: Hero is with K:h, K:d.
3 folds, raises to $0.30, calls $0.30, calls $0.30, Hero raises to $1.60, 3 folds, calls $1.30, calls $1.30.

Flop: ($5.25) 2:d, 2:s, 5:s (3 players)
checks, checks, Hero bets $2.20, folds, calls $2.20.

Turn: ($9.65) 3:h (2 players)
checks, Hero bets $6.91, calls $6.91.

River: ($23.47) 4:c (2 players)

Final Pot: $23.47.

ZOOM Vilan 17/11 ftcb in 3bet pots 1out of 3 250hands
About the sqz size is good or go bigger?
I cbet smal i don't see really much protection on this flop and the pot is already big and the plan is to ship the turn!What do you think?
Thx!