I don't paly HU, but flop looks good for cbet. if he x/r - fold

after flop our range is capped, his not if he x/r a lot. we represent 66 or combodraw on the turn, we rarely have a strong made hand, vs top of his range we're in bad shape, and by raising we push off all of his bluffs, so i think call is good.

but i don't play hu, may be your line is fine

cbet flop most of the time, as played just call turn and use position

Why wouldn't you start checking back flops as an adjustment to someone who check raises board a lot and will then if checked back will just bet turns a lot? Checking back would allows us to realise so much more equity when we are completely air balling (if we assume the player is good enough to know that our range doesnt really hit these dry boards very often)?

We can cbet our value range here and just allow him to donk off large parts of his stack into it on these boards if he is going to raise relentlessly on these boards - he has to adjust if we have this read on him and we adjust accordingly.

So our range isn't capped as air when we check back we can include some of our weaker Axxx and our some of our 9xxx combos which we dont want to be playing a massive pot with but we want to get to showdown - if the villains will just 2 streets because we checked flop we can just call out the turn and river bets as he caps our range incorrectly and just puts us on air and try to bet us off it - we make value this way. 

An argument could be made for cbetting the 9xxx in your range here for terms of protection and balance, there isnt many good turn cards for 9xxx unless holding a T987 type run down - which allows us to see more equity on a lot of turn cards, which for this reason could consider checking back and seeing a turn which gives us a potential pair + straight draw which holds up to aggression much better.