I see I am a bit too late but will give some toughts on the hands anyways.
1. Personally I tend to simplify flop strategies and oftentimes I end up cbetting range IP for a smallish sizing. This is a board where I would tend to do that as well. I can see having a mixed strat can be benificial (in general giving more options will end up in higher ev and pio also opt to use these options/uses mixed strat with the large size as you did). How do you determine your flop strategy and how complex is it? Do you have different sizes as well? Or do you just tend to either use range bet or use a larger polarized sizing?
FWIW: results 33% range cbet.
EV OOP: 3.801
EV IP: 7.199
OOP's MES: 3.826
IP's MES: 7.235
Results mixed strat
EV OOP: 3.731
EV IP: 7.269
OOP's MES: 3.746
IP's MES: 7.290
Difference EV IP and OOP = 0.070
which was 0.035 bb, so 3.5bb/100 hands if you manage to play this strat correctly and villain plays back vs both strats correct as well.
OTT I think we can use the large polar sizing. I wouldn't expect to see a checkraise very often here but when he checkraises I think we're too high up to fold (wouldn't want to go too explo in a $665) and we can reevaluat on rivers. OTR the 9s helps villain a lot and I think we have to fold a descent amount here. When villain overbets and the flush hits in I highly doubt that he would do that for value with 2p/sets. I am not entirely sure what hands we would hope villain has but maybe some weakpair + strong spade / weak pair + weak draw type of hand. I think our hand has pretty bad blockers (might block some bluffs and don't block any value) so I would opt to fold. We can obv call all flushes and then some strong 2p + sets in case he was actually value betting and prevent him from bluffing and maybe add Ax with spade blocker and straightdraw unblocker.
2. Vs that sizing I think we're forced to construct a fairly big call range and this hand seems proper canditate to add in that range. It obv doesn't play super well as flat but should still be +ev and we want to make sure to defend enough vs 3bets. When he uses low sizing we can't just start adding in a ton of 4b bluffs because we're restricted to the proper amount of bluffs wrt our value combos and we can't just start adding in losing value combos. Also with this stacksizes I think it's pretty awkward to use the nai 4b range and I would be inclined to use a (more lineair) 4bet (ai) range. When we use a nai 4b range I would tend to still call AJ and 4bet a bit more polar. Postflop is pretty interesting to me. I think he has a pretty big nut advantage, esp when we 4bet AQ as well but we might call that based on the villain. Eventough we're fairly high up in range and we're up against small sizings I think it's fine to fold on this board, it's just gonna be very hard to realise our equity with such a huge nut disadvantage, I don't think it's gonna be profitably to call down and I expect him to barrel most rivers.
3. Pretty interesting hand imo, I know pio is kinda fragile on the exact inputs we give but when I use lines closest to the actual sizing which do have a descent % of hands do I see that pio is rarely raising river as a bluff.
I am not entirely sure but I figured he might do this because the freq of bluffs he wants to have otr for villain to make us indifferent is equal to the freq of folds he wants to have to make us indifferent bluf raising. Therefor it doesn't make sense to bluffraise with hands that already beat all folds except gaining little more value with our value hands.
However pbb pio isn't a very good representation from villain (and the bluf freq wrt sizings isn't inline with the actual sizings). Maybe we can say that villain tends to weight towards more weakish value hands with this sizing. However problem remains that we don't have too many value hands (some QJ raise flop as well pbb?) and I guess we can overbluff fairly easily. When villain starts folding all or a lot of 1p combos he might be overfolding a bit and becomes better to bluff, if you want to pick some bluffs I guess you can pick this one yes.
4. I agree with preflop, flop and turn seems fine as well. Pretty interesting spot otr yes, I think both players might have capped themselves a bit yes (except some traps and 55 for ir ). I think overbet can be pretty effective since a decent proportion of there range can be overpairs and we put them in ugly spots. I agree with trent and I will fold vs a raise as well.