Call or 4bet pre-flop?

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Call or 4bet pre-flop?

Blinds: $0.05/$0.10 (6 Players) BN: $19.35
SB: $15.47
BB: $16.05
UTG: $10.42
MP: $10.00
CO: $22.17 (Hero)
Preflop ($0.15) Hero is CO with 6 K K A
2 folds, Hero raises to $0.30, BN raises to $1.05, SB calls $1.00, BB folds, Hero raises to $4.30, BN folds, SB calls $3.25
Flop ($9.75) A 3 3
SB checks, Hero bets $3.70, SB raises to $11.17 and is all in, Hero calls $7.47

I don't know which is the most profitable choice.
I have information about two other players
BN (600 hands) is a reg VPIP 21 PFR 16 and 3bet 12,4
SB (900) is a very tight passive VPIP 21 PFR 6 3bet 2,1

Considering this range: BN $3b15i = 3bet 15% IP = 31,26%
SB $fi12!AA = First 12% without aces = 29,04%
Hero with AsKcKh6c = 39,7%

I have almost 40% equity against two ranges. I know, my doubt seems stupid. But, I know the call is profitable and I know the raise is profitable too. However, what is more profitable?

Another point, the BN is a very good player and I know he knows Peel & Stack off and we are 160bb deep.
I chose 4bet because how good it is, I prefer play OOP with a low spr.

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