Maybe I missed something. But the blinds were 15/30 right? And the player w/ KK just smooth called ur raise right?

I only raise AQos when it's folded down or 1 or maybe 2 limpers...and then I'm not going to push AQos to over 4xBB..but that's just me.

Especially EARLY in a SNG...when the blinds are small...I'm waiting on either premium hands ( sorry I don't personally see AQos as a top tier hand...AKs barely makes it top tier in my book ).

as for post flop...

Well if it were me I'd be wondering what the button smooth called with. ( Did he insta-call with no visible hesitation? )

Automatically I'd be putting him on AK, KK QQ, maybe JJ..but I always think worse case.

Plus now you've got a possible fl draw out there, as well as a str draw.

But again, just my lowly opinion, probably many more people here with much more experience than I have.