Haven't done work on 3betting flop vs raise in cold-call spots, but seems like we can do with nut portion of our range and bluffs/semibluffs. Don't think it will decrease significantly EV if you play call/fold at micro.
River looks good, I will bet enough that Jd or Qd not gonna get away. Checking is an option too because when he checks turn he basically says I don't have much( few Kx and airballs, not much Qd or Jd except weird AJ/AQ KQ/KJ).

If I'm going to 3B I prefer using hands that benefit from folding out hands that dominate then, so I'd much prefer a combo draw like 8d6d because you benefit much more from folding out dominating flush draws whereas sometimes you miss the opportunity to cooler someone with your hand when you 3B by making them fold a flush draw that you dominate. Your hand just dominates villains folding range a lot so whilst you have enough equity against the calling range that you're not going to get into a horrible spot with a 3B, the only hands you're folding you either had a lot of equity against or had them crushed so you're isolating yourself against the range that you're only doing ok against.

Essentially your equity is pretty inelastic is the way I think of it, you're just hoping that your 3B generates enough folds to make it worth it and if not you're going to rely on your equity to carry you through whereas a hand like 8d6d is pretty crushed by a lot of semi bluffs (even a gutshot like 87 has it in bad shape) so it benefits a lot more from folds now but has similar equity when you run into the nuts.

Also this hand is kind of perfect to call a turn bet of any size because it has showdown value and lots of equity against the nuts which is really what you want in your bluff catchers, this is a much better call/call/fold than Kx where you're just hoping they give up on the river to let you get to showdown.

Something I think you should definitely look at though is your idea that this is a standard CB, yes I will CB with this hand sometimes but I also want to mix in a x/r a lot, particularly as an exploit against villains who overstab, even to the point that unless I have the read that villain is a strong reg my default line with this hand will be to check looking to raise it because I think people stab way too much when checked to and this is a much higher EV line than just CB OOP. King high boards are ideal to have high betting frequencies on even when OOP but when you account for people betting way too much when checked to the solver response is usually to have a very high checking frequency followed by a very wide x/r for value/bluffs to put their weak betting range into a horrible spot.