Gotta go for more reads but I can't really see a situation in which I'd ever check. Soooo many worse hands, in most cases, will call. I'm most likely b/not folding vs most players too. In your example I'd almost always bet turn. I mean seriously think about ranges with certain types of opponents and what all they'd be calling with. If turn was a blank and he is passive and raises that kind of sucks but I'd rarely fold.

One other point is that I put limpers on Axs/Axo a lot so a monotone board with an A on it and we hold like AQ/AJ whatever I'd be more happy than in this flop of Kxx