nl 4 River Bet Size Too Big?

[tg]BB$8.82:///////;MP2$4.76:///////;Hero$4.39:///////;BU$5.9:///////;[/tg]
0.02/0.04 No-Limit Hold'em (6 handed)
Hand recorder used for this poker hand: PokerStrategy.com Elephant 0.105 by www.pokerstrategy.com.

Preflop: Hero is CO with 6♥, 6♦
MP2 calls $0.02, MP3 folds, Hero calls $0.04, BU raises to $0.20, SB folds, BB calls $0.16, MP2 calls $0.16, Hero calls $0.16.

Flop: ($0.82) 9♥, 6♣, 4♦ (4 players)
BB checks, MP2 checks, Hero bets $0.35, BU calls $0.35, 2 folds.

Turn: ($1.52) T♥ (2 players)
Hero bets $1.14, BU calls $1.14.

River: ($3.80) 6♠ (2 players)
Hero bets $1.9, BU folds.

Final Pot: $5.70

Too big a bet on the river (or maybe too small bets post flop) or alternatively a river shove to make it look like a bluff? Let me know what you think guys.

Thanks