Raising flop would have been fine if V is some kind of fish who will stack off with a load of JX but read is conpetent reg. Anyway hero didn't raise flop and V checked turn. I don't believe, with that line, that V now has sufficient strength with any hands KK is ahead of to call a rIver raise.
Hero has 1-pair and, if he calls river and wins he gets:
1) $112 out of Villain's stack
2) to see exactly what hand this "seemingly competent reg" takes this nut-job line with.
Personally I'm happy with the chips and the enhanced read on a reg. Also I'm actually keen to see what he has now. Which is another good reason to flat river, for the chance to laugh uproariously at particularly weird hands V might have.
Top 3 funniest hands for V to show are:
1) AA
2) JJ
3) 77 tied with 33
Of course he's going to show us AJ because that'll be the most annoying for us