Villian is 57/7/0.9.
I have been value betting him relentless, and he has never played back at me, even with top pair.

Party Poker 3/6 Hold'em (6 max, 5 handed) FTR converter on zerodivide.cx

Preflop: Hero is BB with Q:spade:, Q:club:.
2 folds, Hero calls.

Flop: (8.33 SB) J:club:, T:spade:, 6:heart: (2 players)
Hero bets, Hero calls.

Turn: (6.16 BB) A:diamond: (2 players)
Hero checks, Button bets, Hero calls.

River: (8.16 BB) 8:diamond: (2 players)
Hero checks, Button bets, Hero folds.

Final Pot: 9.16 BB

How far should I have gone with this hand?

Given your description of the villain i fold it on the turn.

At that point there is not much that you beat. JJ/ KK/AA/AK all have you beat. If you called because of your implied odds when you make your straight or queen, i think you are wrong.

Villain will most of the time slow down when such a scary board is out there. And, the queen that makes your set can make his straight if he is holding AK.

Good analysis. I agree 100%.

I fold the turn. You can't beat anything by then, and I think you're drawing to fewer outs than you have odds.

Jeff