I dont' know.... I mean... if we assume that villain is dumb enough to have hands that beat us(and play them like this)
Flush Draw of K and J-(weird hand to call pre with, and bad draw to call turn with)
Any sets(IE who that is good doesn't raise somewhere in those two streets with a set?
and a 3x hand

then we have to assume that villain is holding possibly ALOT of hands that we beat: KK AK KQ QJ 45 JJ A5 A4 A2 (all of which and more call the river 1/3 or so bet)

I don't know what I do alot of the time. I think I throw out a bet on the river. I don't bet pot by any means, but I bet. and I think some hands that have us beat here. possibly a set, or a weak flush(not always, but enough of the time to make it profitable) call.