NL 10, AA on a KK3 rainbow flop

Do you agree with my value raise on the river after the turn check back?

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.05/$0.1 No-Limit Hold'em (6 handed)

Known players:
[tg]MP3$10.49:///////;CO (Hero)$10.65:///////;BU$3.61:///////;SB$9.60:///////;BB$6.54:///////;MP2$3.95:///////;[/tg]

Preflop: Hero is CO with A:c, A:h.
MP2 folds, MP3 calls $0.10, Hero raises to $0.45, 2 folds, BB calls $0.35, MP3 calls $0.35.

Flop: ($1.4) K:s, 3:h, K:c (3 players)
BB checks, MP3 checks, Hero bets $0.85, BB calls $0.85, MP3 folds.

Turn: ($3.1) 7:c (2 players)
BB checks, Hero checks.

River: ($3.1) 3:s (2 players)
BB bets $1.60, Hero raises to $6.00, BB calls $3.64.

Final Pot: $14.34.
Results follow:

BB shows a full-house, kings full of threes(Q:s K:h).
Hero shows two pairs, aces and kings(A:c A:h).

BB wins with a full-house, kings full of threes(Q:s K:h).
Hero wins with two pairs, aces and kings(A:c A:h).