still not trolling.
would be interested if someone is able to sim. checking river after double barrelling in spots where the spr is smallish with hands that are not going to x/f would usually be because the board changes drastically in favour of villain or if villain has a lot of incentive to bluff with missed draws etc.
in basic terms, if you check to call here you need villain to be finding more bluffs with 1-pair hands than the $ they would put into the pot with their bluffcatchers like 67-JJ, which are never betting. obviously you're losing the same amount of money whenever they have AA beat whether you xc or shove and i'd argue the conditions above for checking aren't met by the population.
i'd assume, further, that people usually don't slow play the turn here (and maybe jam more flushdraw combos?), working in favour of betting.
block-betting the K is also an interesting option, no idea if solver-approved or not. would allow us to put a lot of pressure on large portions of villain's range, though, with a wide-ish portion of our own.
would love to hear your/any counter-argument and happy to be proven wrong. this is definitely a dicey spot. bit more interesting and productive than being called a troll, anyway.