Did I get maximum value here? Or would another line typically get me more money?

(Button's third hand at the table, so no read.)

PokerStars No-Limit Hold'em, $0.25 BB (9 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: FCP)

Button ($24.50)
Hero (BB) ($27.20)
MP2 ($8.50)

Preflop: Hero is BB with 6 , 6 . UTG posts a blind of $0.25.
UTG (poster) checks, 2 folds, MP2 calls $0.25, 2 folds, Button raises to $1.25, 1 fold, Hero calls $1, UTG folds, MP2 calls $1.

Flop: ($4.10) 6 , 6 , 5 (3 players)
Hero checks, MP2 checks, Button bets $2, Hero calls $2, MP2 folds.

Turn: ($8.10) J (2 players)
Hero checks, Button bets $4, Hero raises to $10, Button folds.

Final Pot: $16.1

Call the turn and see what hits the river to determine whether or not to lead out or c/r.

Either lead the flop (I love me a good donkbet), or since you checked, call the turn, and then lead out on any river with a nice value bet of like $10-11.

I bet the flop light - maybe like $2.2ish.
Chances are, two overs are calling, and anything that will actually pay you may just be kind enough to raise.
Checking just kills any future action, based on experience.

ACK .... minraise the flop please. Minraise the turn please. That get most villains SO priced in at the river he has to call the shove.