QQ vs Fish in 3-bet pot - gay turn card.

[Carroters]

Villain is an stationy looking fish running 50/0 over 10 hands - he's been limp calling so far.

Obvious 3 bet for value here. My plan on the flop was to just bet enough to enable me to shove the turn and stack all his worse pps (pretty standard)

On this turn card though so much of his range now folds and the stuff that doesn't is weighted towards aces and better hands imo. I elect to check and then decide to just c/f this river, since I highly doubt this guy is capable of bluffing with a worse pair.

Getting lol pot odds but relaisitcally I beat close to nothing here amirite?

No-Limit Hold'em, $1.00 BB (5 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

Button ($48.45)
SB ($107.80)
Hero (BB) ($110.80)
UTG ($198.45)
MP ($71.30)

Preflop: Hero is BB with Q, Q
1 fold, MP bets $3, 2 folds, Hero raises $10, MP calls $8

Flop: ($22.50) 5, 8, 5 (2 players)
Hero bets $17, MP calls $17

Turn: ($56.50) A (2 players)
Hero checks, MP checks

River: ($56.50) 7 (2 players)
Hero checks, MP bets $26, Hero folds

Total pot: $56.50

[Hoopy]

AsXs seems possible for him have in this spot and if he's terrible he could be calling your cbet with bare overs like AQ.

River seems like an easy fold, he'd check back hands like 99-JJ right?