10NL full house, call or raise to river lead?

Hand converted with online PokerStrategy.com hand converter:

Play hand

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

Known players:
[tg]BU$13.17:///////;SB$16.31:///////;BB$15.81:///////;MP2$6.36:///////;MP3$2.23:///////;CO (Hero)$18.98:///////;[/tg]

Preflop: Hero is CO with 6:h, 6:d.
2 folds, Hero raises to $0.25, 2 folds, BB calls $0.15.

Flop: ($0.55) 6:c, Q:d, 8:d (2 players)
BB checks, Hero bets $0.42, BB calls $0.42.

Turn: ($1.39) 2:c (2 players)
BB checks, Hero bets $1.06, BB calls $1.06.

River: ($3.51) Q:s (2 players)
BB bets $2.35, Hero calls $2.35.

Final Pot: $8.21.
Results follow:

I'd raise river here pretty much always, but villain is a winning reg and I thought he wouldn't play the river this way with anything I beat except missed draws...