Flop nut flush, when to push?

[Worrots]

I'm trying out PLO8 coming from LHE and LO8 and find myself wanting to keep other players in the hand when I have the nuts and know I should just push.

This hand, I flop the nut flush high with the nut low redraw, OOP. Lots of players in the pot. For some reason, I got obsessed with not giving away my hand.

When do you push?
- flop push broadcasts my hand
- turn push might get rid of players I want hanging around for the river to get quartered. On the other hand, it would be good to make them pay more to draw.

$25 PL Omaha Hi/Lo

Seat 1: A ( $90.43 )
Seat 3: B ( $57.80 )
Seat 4: C ( $24.75 )
Seat 6: D ( $5.71 )
Seat 8: E ( $8.84 )
Seat 9: F ( $60.08 )
Seat 10: G ( $16.90 )
Seat 5: Hero ( $28.72 )
Seat 7: I ( $31.45 )
Seat 2: J ( $23.55 )

B posts small blind [$0.10].
C posts big blind [$0.25].
** Dealing down cards **
Dealt to Hero [ Ah 2s 4h 6h ]
Hero calls [$0.25].
D calls [$0.25].
I folds.
E calls [$0.25].
F folds.
G calls [$0.25].
A calls [$0.25].
J calls [$0.25].
B folds.
C checks.
** Dealing Flop ** [ Kh, 3h, Qh ] 7 players ~$1.85
C checks.
Hero checks.
D bets [$1].
E calls [$1].
G folds.
A calls [$1].
J folds.
C folds.
Hero calls [$1].
** Dealing Turn ** [ 7s ] [ Kh, 3h, Qh ] 4 players ~$5.50
Hero checks.
D checks.
E checks.
A bets [$3].
Hero calls [$3].
D folds.
E folds.
** Dealing River ** [ 6c ] [ 7s Kh, 3h, Qh ] 2 players ~$11.00
Hero bets [$7].
A calls [$7].


Yes, I know I should have pushed the river.

Thoughts?