SnG Tournie question

Sorry I don't have specific HHs to show, but here's the set-up...

SnG 5+.50, FR, relatively late in the tournie. My stack is around $1,000-1,300. Blinds around $100+. 4-6 people still in, most with larger stacks. Blind has equal or larger stack than me.

First in with a M or LP R w/ a decent hand (i.e. AK, AJ, KQ, etc.) for let's say 4x BB. Gets called by one of the blinds and now HU. Flop comes and I have two OCs, or TPTK but a flush or straight coordinated Board. He checks, I CBET (pot-sized bet in the case of the Flush draw, or around 1/2 of the pot in case of OCs). He calls. Turn comes and doesn't improve my hand. He checks to me again.

Now what?

At this point, with the PFR and C-Bet I'm pot committed w/ squat left in my stack. And I'm looking at the following situations:

1) I got OCs or TPTK but looking at a flush draw. Do I push AI knowing if he's on the draw he's getting the odds to call it?
2) I got just OCs, but if I check behind him he not only gets a free card but I might as well put up a sign saying "i got sh!t"... However, pushing the rest in feels like a total donk, and $3-400 is unlikely to push anyone off of what is now around $2,000 pot.

I've gotten caught in this "Raise - CBet - Pot committed" trap four times now and gotten bounced out of tournies in 4th or 5th place.

Any suggestions?

Firstly, if your stack is $1k and the bb is $100 then you push pre-flop.

Assuming you had $1300 then a bet pf of $400, leaves $900 for an $800+ pot, so you push the flop.

Basically when you're that short I don't see why you'd not be AI when the turn comes unless you're trying to slowplay a monster to exploit a weakness.

Anosmic is right. You put yourself in this position because you let your stack get too short in relation to the pot and therefore lost all of your fold equity. Although your stack is just over the push/fold mode (and therefore a pre-flop raise versus push isn't terrible) any bet you make after that needs to be a push.