Interesting hand heads up at end of SnG, Pocket 2s! yay!

My Stack - 3,500
His - 6,000-7,000-ish
Blinds - 200/400
Me - 2c 2s
Me - raise to 900
Him - Call
Flop - 3c 6d 9h
Him - All in
Me - ???

I called here, and i'm wondering if you guys agree with my reasoning.

He called pre flop, so I don't think he has a big pocket pair, or he would have re-raised. If he had a low pair and hit a set, I do not think he'd want to push me out on that flop.

So I think he could have something like-
Pair's - 44, 55, 77, 88
Overcards - any 2 overcards
Drawing hand - 78 suited

So I thought it was a good idea to call here....

is my reasoning just completley wrong? :D

With your stack id be pushing this preflop. 22 isnt a great hand, but with your stack you ned to be pushing, your raise was just barely over the minimum so he is calling with almost anything, with 22 Id rather use your folding equity by shoving my chips into the pot. I dont think you can call the bet on this flop, in a best case scenario where your opponent is making a stop and go and pushing with anything, then you are barely better than a coinflip. If he has a hand you have 2 outs to improve, Id fold here. Push preflop and you dont have to make this decision.