preflop is good. your opponents at these stakes are most likely calling with dominated hands such as AQ and maybe AJ. so we can certainly 3-bet for value.
on the flop i probably bet something like $2.4 and i'm not folding to a raise of any size from either player. there are only 2 possible combos of AA/KK which can (and should) be discounted because they flatted your preflop 3bet (instead of 4betting, which most people will do with AA/KK here, especially those with TAGgy stats). thus the only hand in either of their ranges that beats us is 99 (3 combos) which is outweighed significantly by AQ (8 combos) and AJ (8 combos), and we chop with the 4 combos of AK. thus we will have a positive expectation by bet/calling any raise against their ranges.
the reason i prefer betting $2.4 on the flop is that it creates stack sizes going to the turn such that we can shove the rest in (this will be like 4/5 pot). so we're basically planning our hand around getting maximum value from our opponents ranges (which are significantly weaker than ours). betting $2.4 allows us to do this. and we can obviously snap call or shove the rest in if one of our villains decides to raise the flop. because we are crushing both their ranges.
so yeah, you're obviously being quite results-oriented, as people have mentioned, because your opponent happened to have one of the combinations which have you beat, which make up probably ~20% of their total calling range - the rest of which is drawing very close to dead (ie AQ or AJ vs AK on AK9 flop)
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