600NL HU - Help me compose a river range!

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600NL HU - Help me compose a river range!

SB: $786.50
BB: $1173 (Hero)
Flop ($27.00) 7 7 J (2 Players)
Hero checks, SB bets $12, Hero calls $12
Turn ($51.00) 2 (2 Players)
Hero checks, SB checks
River ($51.00) 7 (2 Players)
Hero checks, SB checks
Final Pot
SB has 9 6 Hero has 5 5 Hero wins $47.50
For the purposes of what I want to try to do here... assume we have no reads on villain that call for exploitative play of any sort. He's raising 90-100% of BTNs, cbetting this flop w/ almost all Jx+ and almost all his air. On this extremely dry turn he continues barreling the majority of his Jx+, 30-50% of his air and checks back something like the following range:

http://gyazo.com/b4600bd2d272d5be5c0a284bb5ac32ee

The range we arrive to the river w/ might look something like this:

http://gyazo.com/6d882181e05b64935e257f298817d63f

As you can see we have a slightly stronger range than he does in this spot... we have A fullhouse/Ax 50%+ of the time and he has Kx or lower 50% air. [Do you guys think these look like typical range in this spot?] That said he has a decent number of Ax and 2x-Jx bluff catchers as well.

Now here comes my question: How are you playing your range in this spot? [Are you planning on having a ch-folding or ch-raising range? How often do you think he bets air when checked to? Do you think you can vbet weaker than Jx?]

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