I feel that unless the villain in these spots (on the flop) has a K himself (unlikely) or a boat (99) then it is incredibly difficult to get him to play three streets and therefore when he does sometimes we will be beaten for sure. I'm obviously not concerned with being beaten but it is an observation worth noting.

Personally, I tend to c-bet on the small side here as I have a fairly high c-bet % anyway so would take the same line with a strong hand and air here. I think by doing this we get called by plenty of A high, pairs, Kx, 9x and maybe even some draws (JT/QT etc) and also random floats in some cases. By c-betting fairly small we might even get villain to raise occasionally as a bluff.

Turn I think I check back and give him chance to stab and probably just call as double barelling will look so strong and so will check/raising although the board texture now means we might get a call from a check/raise if villain has a straight draw, flush draw or some pair/draw combo.

If he checks back turn then I probably make a small-medium value bet on the river. If I have check called turn then probably best to continue the weak line and hope he goes for thin value although there is an argument for betting as he might call with a J thinking you might have bet a draw on the flop etc.

I am looking to really improve my postflop play so hands like this are a useful discussion.