Value hand against weaker player - theory question (how to do u aproach this?)

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Value hand against weaker player - theory question (how to do u aproach this?)

Blinds: $0.05/$0.10 (6 Players) BN: $14.15
SB: $23.00 (Hero)
BB: $11.33
UTG: $15.56
MP: $18.73
CO: $1.62
Preflop ($0.15) Hero is SB with A A
3 folds, BN raises to $0.30, Hero raises to $1.00, BB folds, BN calls $0.70
Flop ($2.10) 3 T A
Hero bets $1.10, BN calls $1.10
Turn ($4.30) 3 T A 3
Hero bets $2.40, BN folds
Final Pot SB wins $4.08
Rake is $0.22

Hand is just an example.
How do u aproach sizings against unkown fish ?
Im not sure if i should go for a max value against his strong holdings (even if we block hardly many of them like in the spot) ?
Or make a standard aproach and aim against his range.
1. We ignore the fact that we block top pairs and NFD, and go for 3/4, pot or even overbets, because we will win big when they hit something decent, but obviously it wont happen alot because of their wide range.
2. We use same aproach like against regs, range thinking.

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