Played vs 14/12, 3bet 5,5, FT3b 50, 4bet 25 (607 hands) villain

PF this hand is part of my std range: 55+, A2s+, KTs+, QTs+, J9s+, T9s, 98s, AJo+

Villain folds to cbet in 3bet pot 50%.

On the flop I decided to cbet with backdoor nuts FD and backdoor SD and A overcard in my hand. This flop is not too good for our range and villain will have quite a lot of draws here but I want to cbet this hand with great backdoors. My plan is to give up on blank turns and clubs that are not A and to continue on hearts, 7, 3 or Ace.

I'm not even sure if we should cbet this hand as we have quite a lot of flush draws in our range so we have enough bluffs and we will overbluff if we cbet with backdoors FDs even if we choose Ax backdoor FDs.

We already have 14 combos of flush draws on the flop and I would cbet ca 39 combos for value - overpairs, sets, ATs,KTs...when we use 1/2 sizing 14 combos of bluffs shall be enough compared to 39 combos of value bets, especially on this board OOP.

As played on the turn I'm not sure what the best line is...I think cbetting makes sense here only. WE dont have to protect our checking range as we only have strong value hands or strong draws here and we basically never X/F with our range here. Could X/R or X/C sometimes make sense here ? I don't think so as I want to extract as much value as I can with my strong hands here so I would only check with draws and would not be balanced here. I think we should continue with the same range we bet on the flop.

On the river I dont think this is good card for bluffing as board pairs, this not scare card for villain certainly and we would probably only make him fold weaker hands. I thought we had some showdown value. On the other hand we don't block Ac so our hand is not as bad for bluffing but I think it's better to bluff with other missed flush draws that don't have showdown value...IDK this spot is pretty fcked :D I think I should just give up on the flop and play with better range here...

BTW shall we use bigger sizing with this polarized range in this spot or is 1/2 pot ok ?