Standard 3bet pot gameplan with missed AK/AQ OOP

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Posted by posted in Low Stakes

Standard 3bet pot gameplan with missed AK/AQ OOP

Blinds: $0.08/$0.16 (6 Players) BN: $21.07
SB: $11.28
BB: $24.94 (Hero)
UTG: $17.77
MP: $16.83
CO: $16.00
Preflop ($0.24) Hero is BB with A Q
UTG folds, MP raises to $0.48, 2 folds, SB calls $0.40, Hero raises to $1.76, MP calls $1.28, SB folds
Flop ($4.00) 7 6 3
Hero checks, MP checks
Turn ($4.00) 7 6 3 5
Hero checks, MP bets $1.98, Hero folds
Final Pot MP wins $3.82
Rake is $0.18
MP was unknown player who was looking like a regular, 30/27 or something like that after 40 hands, SB is table fish.

Every time i made 3bet and miss the board with my AQ/AK i have troubles with my gameplan.
So whats the best counterplay with our hand vs. regular players tendencies on these stakes (im playing 25-16NL normal cash tables)?

This is default calling range i gave him preflop:
JJ-99,AQs-AJs,KJs+,QJs,AQo,KQo
I assumed that standard reg is playing his AKo,AKs,QQ+ by 4bet/shove.

Now... im only worse than JJ/TT/99 and its only 36% of his range if we are counting blockers. I feel like im loosing these type of pots by check/folding or check/calling or even bet; check/folding really more often than 1/3 times and thats why i asking you for advice.

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