In section 4.1 (page 16) of the paper,
"UNIFORM(0,1) TWO-PERSON POKER MODELS" Ferguson supplies a graph for optimal play for two players in a two bet maximum game. Of course this graph can also be found in Phillip Newall's book, The Intelligent Poker Player, and I think the regions displayed in this graph are interesting.
For instance, in this specific hand, I assume that if we bet and get check raised we are not going to fold and thus this puts us in the Bet-Call region which is an entire region away from the check behind region and thus this appears to be an easy value betting hand for us.
I think hands that we could / should be bet folding on this river are hands like TPTK or two pair.