What did he have?
55...
Agree with your analysis, Anin.
I think bet/fold looks marginally better than ch/c just because villain can have JJ/QQ/67s here as easily as 55 (and more combos) and he probably plays it the same way up to the river so we miss value by checking, as those hands usually check behind. I.e. I think we are mostly behind villains betting range.
But, as Im discovering, when villain raises river we can almost always fold regardless the odds - its almost never a bluff on nl50.