QQ in live game. terrible play?

This was at a casino PL 1-1 pound blinds game. Loose, casino players. I think this might be an example where being in a new environment (i.e. higher stakes, and live) made me nittier than usual.

I'm dealt QQ in the blind.

Shortstack in LP raises, I flat call, there's a call behind. Should I have reraised here?

Flop comes K x x.

I check, MP checks, LP shortstack insta-pushes for about a pot-sized bet. LP has been seen showing down bluffs before.

I think about it for a while, then he says, "Oh no, you're drawing aren't you?"

I fold.

In hindsight, this guy was a shortstack who would have been all-in to a PF reraise, so I should have just pushed him in, right? I'm still getting used to being 100% aware of stack sizes at live games. After all I'm only behind vs AA and KK. The more I think about it the stupider I feel.

However, as played, is the flop fold still just as terrible?

Like you said, putting him in with a reraise preflop would have made this way harder. The flop fold isn't terrible since there is still one player to act behind you.

I think a reraise preflop is in order. I really don't want to see a flop with more than 2 other people with QQ. I really prefer it heads up or just take down a few blinds most donks at casinos will play any rag K,A,Q or hell even rag suited J's. So reraise and put the heat on.