Scare Card on Turn Am I still Pot Commited?

[Crispy]

20k Gauranteed on PP
I have been playing a TAG game, but villan is a little loose.
Blinds 200/400

Hero (10k)(Button)
Villan(10k) (UTG+1)
Hero dealt (QhQc)

Villan limps, MP+1 Limps, MP+2 LImps, Hero raises 1600, SB folds BB folds, VIllan calls.

Flop comes 2h5h9c. Pot (4400)
Villan bets 400, Hero raises 2800, Villan calls.

Turn Ac
Villan checks, Hero bets all in.

I had about 5500 at this point and the pot was around 11k. I figured since I had put in almost half my chips I was pot commited and villian could have had really any pair on the flop. Do any of you guys also take this line?

[Crispy]

bump

[redrooski24]

Why not just push the flop?

[TomHimself]

you need to raise way more preflop then you can oush the flop

[Crispy]

Hmmm well I only got one caller preflop. The average raise preflop was about 2.5 -3X BB, I felt that this would either take it down or get 1 caller. My main concern is wether Pushing all in on the flop was necessary, if i needed to raise more, etc. Looking at the cards of the villan I wanted to bet enough to let him make a mistake in calling but not enough to discourage action.