Common situation: AK UI, how to mix it up?

[Hielko]

To make to question not to wide, image the following problem:

A good TAG opens from EP, and you 3-bet from MP. His range is typical, something like 77+, ATo+, ATs+, KQo, KQs. Your range is something like AKo, AQs+ and TT+. He knows your 3-beting range and you know his openraise range. Let’s say that he calls you raise and this means that he probably doesn’t hold AA/KK/QQ/AKs.

To make life easy, let's say that there comes a dry non scary flop like 226r. How do you continue in such a way that he can't exploit you/play perfect against you?

After the flop you have AKo (12), AQs (4), TT+ (5 x 6). So you have a pair 65% of the time and A-high the other 35% of the time. If you would bet all hands on all streets and he would continue only with a pocket pair or sometimes AKo postflop and fold those PP’s as soon as an A or K turns or rivers he is probably playing perfect against your strategy of always betting. So how do you need to play this postflop?

Betting 100% on all streets is probably not optimal.
Betting only the PP on all streets and checking A-high on the turn (and folding on the river) is probably not optimal.

So what is the best strategy to use that wins more when ahead and loses less when behind and that the lines are such that you can’t be easily read? I hope someone can explain this a bit to me or show me how you can estimate the correct percentages for certain actions postflop.