Played set too weak?

Well this is my first post here. Im trying to better my game so any advice flaming is appreciated.
I'll admit I didnt see the possible straight til the second i bet the turn. Had I noticed I probably would have bet .50 . But I still think I played it horrible.
BB is an unknown player.

No-Limit Hold'em, $0.05 BB (7 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG ($4.27)
Hero ($4)
MP2 ($10.28)
CO ($9.98)
Button ($10.74)
SB ($13.17)
BB ($3.35)

Preflop: Hero is MP1 with 7http://www.flopturnriver.com/phpBB2/...iles/heart.gif, 7http://www.flopturnriver.com/phpBB2/...es/diamond.gif.
1 fold, Hero calls $0.05, 4 folds, BB raises to $0.1, Hero calls $0.05.

Flop: ($0.22) 2http://www.flopturnriver.com/phpBB2/...iles/spade.gif, 7http://www.flopturnriver.com/phpBB2/...miles/club.gif, 5http://www.flopturnriver.com/phpBB2/...miles/club.gif (2 players)
BB checks, Hero bets $0.15, BB calls $0.15.

Turn: ($0.52) 6http://www.flopturnriver.com/phpBB2/...es/diamond.gif (2 players)
BB checks, Hero bets $0.25, BB calls $0.25.

River: ($1.02) 8http://www.flopturnriver.com/phpBB2/...iles/spade.gif (2 players)
BB checks, Hero checks.

Final Pot: $1.02

Results in white below:
BB has 8c 8d (three of a kind, eights).
Hero has 7h 7d (three of a kind, sevens).
Outcome: BB wins $1.02.

I would bet more on the flop and turn, but otherwise I like it. You didn't play it horribly.

The flop bet is fine, turn I would bet more though, on that river you made the right play in checking behind simply because you will very rarely get paid off by a worse hand and you will nearly always be called by only better hands.