ZOOM NL2: 3bet pot: KK on A high board, turn J, river Q, do I have a value bet?

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.01/$0.02 No-Limit Hold'em (6 handed)

Known players:
[tg]BU$1.92:///////;SB (Hero)$2.01:///////;BB$2.06:///////;MP2$2.00:///////;MP3$2.44:///////;CO$2.02:///////;[/tg]

Preflop: Hero is SB with K:d, K:c.
MP2 raises to $0.06, 3 folds, Hero raises to $0.20, BB folds, MP2 calls $0.14.

Flop: ($0.42) A:s, 2:h, 3:h (2 players)
Hero checks, MP2 checks.

Turn: ($0.42) J:d (2 players)
Hero checks, MP2 checks.

River: ($0.42) Q:h (2 players)
Hero checks, MP2 checks.

Final Pot: $0.42.
Results follow:

Hero shows a pair of kings(K:d K:c).
MP2 shows a pair of nines(9:h 9:d).

Hero wins with a pair of kings(K:d K:c).

Is there any point where I could/should valuebet after the flop? The runout just seemed so awful to me...