Early on in the match but villain seems competent and has shown he is able to vbet thin on the river in similar spots when checked to.

Pre and flop seem fairly standard at this stage of the match my 3betting range is fairly linear and I have not noticed any huge leaks in how defends against 3bets.

Think this is a good spot to check call with second pair and flush draw as betting does not get called by worse and if he shoves on us we may have to fold quite a lot of equity.

On this river based on the range of hands I would choose to check call turn I am left with some weak ax hands, some axhh hands that are now a flush and a lot of Kx hands. The number of kx combos outweight the times when I have a flush or Ax as most of those combos I would bet again on turn. If we want to try and reach the minimum defense frequency against this bet we need to be calling roughly 54% of our range.
I do not have nearly enough ax or better hands when i take this line so does this mean i should be calling some kx hands? If so which are the best candidates to pick or should I not worry about being overly exploitable in this spot?