How Do I Not Shove the River?

PokerStars No-Limit Hold’em, $10.00 BB (8 handed) – Poker-Stars Converter Tool from FlopTurnRiver.com

Hero (Button) ($3084)
SB ($1000)
BB ($1759)
UTG ($2449)
UTG+1 ($3007)
MP1 ($2512.20)
MP2 ($2498)
CO ($2469)

Preflop: Hero is Button with 7, 5
UTG bets $20, 3 folds, CO calls $20, Hero calls $20, 2 folds

Flop: ($91) 3, 9, 6 (3 players)
UTG bets $60, CO calls $60, Hero raises to $222, UTG calls $162, 1 fold

Turn: ($595) K (2 players)
UTG checks, Hero bets $444, UTG calls $444

River: ($1483) 2 (2 players)
UTG checks, Hero checks

Total pot: $1483 | Rake: $3

Results:
Hero mucked 7, 5 (high card, King).
UTG had 8, K (one pair, Kings).
Outcome: UTG won $1480

Maybe he calls, but I still think I’m supposed to bet here. Less than a shove might be better though. I would have been happier if the river weren’t such an “obvious” scare card that rarely actually helps my hand. In other words, I’m afraid he’s going to think something along the lines of  “of course Foucault’s going to bluff when a flush draw completes on river but he rarely has a flush so I call”.