$3.40 STT: is this post-flop raise +EV?

[vowels]

I was playing a $3.40 STT on Poker Stars and picked up pocket kings. Blinds 15/30, Big Stack ahead of me raised it up to 90. I reraised to 240, got a caller behind me as well as the big stack caller. Flop came 10 2 Q, 2 spades. I have about 1200 in chips left, and since there's potential straight and flush draws out there, I'm thinking I want to make a pot-size bet to make them pay. But since the pot size is about 750 and I only have about 1200 left, I just push all in. Is this post-flop play +EV?

The reason I ask is that the big stack turned over pocket 10s for trip 10s. Made me start wondering if the only way I'm called here is if I'm beat. I don't think that's true since I bet a lot of draws will call here, plus a lot of people who just made queens since they have top pair on board. Probably a lot of other crap hands too since they're pretty loose at $3.40. Let alone the times I'm not called and just take the pot down directly. Just want to make sure I'm right.