Interesting Turn Decision With JJ Overpair

[ninjaunderwear]

What kinds of hands do we put SB on after he calls pre-flop? How does his call on the flop narrow this range? And how is this range further reduced after SB check-raises the turn? If I call the raise on the turn, what is my plan for the river unimproved?

When I get check-raised on the turn, am I likely to be ahead of any hands that SB possibly holds?

My stats up until that point in the session are 15.56/7.78/1.83 after 90 hands. I have attempted to steal 1 out of 7 times, but folded from the CO on the turn after both blinds played along. It is unlikely that SB put me on a steal attempt from MP2.

Also, in the hands I had previously logged before this hand, SB had check-raised twice in 575 hands, once on the turn and once on the river.