50NL: Flopped low flush against station

[jimmy44]

Poker Room skin
No Limit Holdem Ring game
Blinds: $0.25/$0.50
9 players
Converter

Pre-flop: (9 players) Hero is BB with 2 8
UTG, folds, UTG+1 (poster) checks, 3 folds, CO calls, Button folds, SB calls, Hero (poster) checks.

Flop: 4 A 3 ($2, 4 players)
SB bets $0.5, Hero raises to $2.5, UTG+1 folds, CO raises to $4.5, SB folds, Hero calls.

Turn: K ($11.5, 2 players)
Hero bets $7, CO raises to $14, Hero calls.

River: 2 ($39.5, 2 players)
Hero checks, CO is all-in $13.3, Hero ???.

Results:
Final pot: $66.1

villain was 66/3/0.4. Can you put villain only on the flush? Villain's raise would be flush and set, no?

[AHiltz]

Why not go to war on the flop? Why not shove the turn instead of calling? This can be a set/straight a lot.

[jimmy44]

The issue I had was that going to wat with such a low flush and against a calling station was akward.
However, I agree, if I call the river I should have pushed the turn ...