[Closed] NL4 - 54s CO

Known players:
[tg]Position_Stack:hands/vp$ip/RaisePreflop/AF/WTS/ORL/BBvsSteal/W$SD;SB$0.82:20/35 /0 /1.3/33 /-/-/0 ;BB$5.68:31/39 /3 /0.6/38 /-/-/40 ;UTG1$2.43:38/26 /5 /1.3/36 /-/-/50 ;UTG2$3.53:143/46 /5 /0.6/34 /0 /-/68 ;Hero$3.94:///////;BU$5.77:56/25 /7 /2.8/47 /0 /-/43 ;[/tg]
0.02/0.04 No-Limit Hold'em (9 handed)
Hand recorder used for this poker hand: PokerStrategy Elephant 0.67 by www.pokerstrategy.com.

Preflop: Hero is CO with 5♦, 4♦
UTG1 calls $0.04, UTG2 calls $0.04, 3 folds, Hero calls $0.04, BU calls $0.04, SB calls $0.02, BB checks.

Flop: ($0.24) 3♥, 7♥, 6♠ (6 players)
SB checks, BB bets $0.08, 2 folds, Hero raises to $0.28, 2 folds, BB calls $0.20.

Turn: ($0.80) 5♣ (2 players)
BB checks, Hero bets $0.60, BB calls $0.60.

River: ($2.00) Q♥ (3 players)
BB checks, Hero checks.

I figured he was chasing a flush draw and caught it, was I right to check-behind on the river? I assumed since he called the flop and turn, he'd call any bet on the river too.

Final Pot: $2.00

Results follow (highlight to see):
Hero shows a straight, seven high (5d 4d)
BB shows a flush, queen high (8h 6h)

BB wins with a flush, queen high (8h 6h)