Very interesting hand, thanks for sharing.
I thought ranges would be close to 50/50 in equity here OTF and that we would be checking the flop quite a bit but I ran it in equilab and SB still has around a solid 55% advantage. I guess Hero has the nut advantage because both players can have JT,JJ and TT but SB has the over-pairs as-well, I think this means we may be able to bet with a larger sizing on the flop because villain's continuing range should be a fair amount of top pair, AT,KT type hands that probably arn't folding to a larger bet.
I agree with Reds and think you could probably range bet 1/3 with everything here in 3-bet pot with 55% equity but maybe betting larger is fine as-well with our premium hands and draws here. The turn is an interesting card, because I'm not sure if its a +equity turn card or -equity turn card. I think the Q can hit both players. With the sizing we used on the flop I think villain probably don't float with many Q-high that make it to the turn besides a Qx FD and many of his Qx FD's are discounted because the board takes away his Q♥:J♥:, Q♥:T♥:.. The Q♦: turn helps his 98s, his QJ and KQ. We have more AK here but I think we can kind of discount those from our range since they should be using the smaller sizing bet on the flop I would imagine.
Turn: we are still ahead of his FD's and SD's, also ahead of AJ and KJ. I think I do prefer the check call because there are many rivers that can be scary I think and we would be OOP on the river not knowing where we stand in a 3-bet pot once we check and he makes a sizable bet I think his range is more skewed towards less AJ and KJ now which is bad for us.
River: On the river he could have TTJJ,JT, possibly some portion of AK with over-cards and gut-shot that call flop. Probably a good fold since he can't have too many Qx in his range that big flop bet. he doesn't really have any SD's and his FD combos he would like in his range are blocked by the board on the flop.
Edit: I'm wondering if we can muck on the turn because villain called a big 3-bet pre, big flop bet and is betting now on the turn which kind of discounts AJ,KJ in his range, if he has all better hands and a few NFD's maybe we can fold since we won't know if an A♥: or 9♥: is good if it comes on the river.