Villain's an unknown.

I cbet because I didn't have a plan and I don't think it can be so terrible, but in review I'd like to understand this better. Bet flop - check turn - fold river feels pretty shitty. Bet flop - barrel turn - check river feels too overplay. The more I think about it the more I like check flop - call turn - fold river. AKJ board hits a SB calling range pretty well, so the advantage of this is that we don't under- or overplay our hand.

What do you guys think? And going from the perspective of range construction, aside from ATo what sort of range would you check back here as PFA? Maybe we should check back a lot because a lot of SB's flat range hits it.