Better line for more $?

Villain was 18.5/3/2.4 postflop agg...didn't want to chase him off. I know my line has to suck. What is better? I normally don't call raises with AQ but was changing up and was more than prepared to dump it on the flop.

PokerRoom No-Limit Hold'em, $0.50 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP3 ($27.75)
CO ($48.55)
Button ($42.20)
Hero ($33.55)
BB ($51.95)
UTG ($11.60)
UTG+1 ($29.30)
MP1 ($27.85)
MP2 ($4.20)

Preflop: Hero is SB with Q, A.
6 folds, Button raises to $1, Hero calls $0.85, BB calls $0.75.

Flop: ($3) Q, 9, Q (3 players)
Hero checks, BB bets $1, Button folds, Hero calls $1.

Turn: ($5) Q (2 players)
Hero checks, BB bets $1.5, Hero calls $1.50.

River: ($8) 9 (2 players)
Hero bets $3.5, BB calls $3.50.

Final Pot: $15

I go all-in on the river here and take my chances that he will call. By going all-in, it looks like you are trying to steal the pot and villain would be inclined to call figuring it is a split pot. If he folds, then you didn't lose much anyways...

I lead the flop, lead the turn, lead the river.

Value betting the river here gives him too easy of a decision to make a stack saving call down, IMO. Bet $6 or $7 if you must value bet. I vote push-- it looks like a split pot and if he's got AA or KK, he might actually think he's ahead. Your line so far hasn't said much at all, much less that you have a Q. You could be floating with JJ or TT. You're freerolling to either double your stack/make no additional money vs. only $3.50 more. Make him squirm. (Though given how weakly he's been betting, I think he's looking for an excuse to fold)

The 3% PFR makes me wonder if this guy is capable of stealing at all, I might make a weak laydown pre-flop.

Post-flop, meh. I think it's more important what you're doing here sometimes with air.

I certainly would push this river.

I check/call flop check raise turn and push river. Its a predictable line, but even the stronger players at these levels are getting away from big pairs here, and pairs are the only hand that pay you off here.