I mostly agree with others, I think it's a call/call or fold turn. Definitely leaning more towards call/call. I'd assume villain cbets the flop with all of his hearts and all of his clubs, depending on how wide his opening range is, that can be quite a lot of combos, also because of the board runout, with the K on the turn and everything, and your perceived range containing quite a few missed draws and pocket pairs that might fold I'd say he's firing 3barrels with a lot of his air here and we don't need to be good all that often.
That said, that is a pretty bad river for him to bluff on, and the sizing seems kinda value-ish, but I still think we have to call blank rivers, even though if I was in villains shoes, I'd be more likely to bluff heart rivers or even clubs, rather than a blank.
Someone mentioned that jamming might be more +EV than calling the river, I wouldn't really agree with that, I think it's way too easy for him to click call with every single hand that he's valubetting there, because we do rep a lot of missed draws, don't have very many 9x in our range, and may or may not raise 9x on the turn and may or may not raise the river with them, 33 and 99 is only 4 combos.
why not figure it out an turn? if you think he barrels allot and we all know a king on the turn is a great card to barrel. I raise this turn to challenge him. If I play with this guy allot i need to do it for value as well. thoughts?
Take this to your local 1/2 live game. You don't challenge people, you try to take the most +EV lines while trying to stay balanced, in spots where you need to. Besides that, JJ is like the worst hand to raise with there, because it has little equity vs his calling/3betting range and is quite simply good enough to call with.