profitable xb vs unk? nl100

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profitable xb vs unk? nl100

Blinds: $0.50/$1.00 (5 Players) CO: $161.73
BN: $113.00
SB: $102.25
BB: $100.00 (Hero)
UTG: $215.88
Preflop ($1.50) Hero is BB with A J
UTG folds, CO calls $1.00, BN folds, SB raises to $3.00, Hero calls $2.00, CO calls $2.00
Flop ($9.00) 6 A Q
SB bets $6.00, Hero calls $6.00, CO folds
Turn ($21.00) 6 A Q J
SB checks, Hero checks
River ($21.00) 6 A Q J 4
SB bets $10.00, Hero raises to $32.00, SB calls $22.00

I know I played this hand fine, vs this particular opponent, I'm just wondering if XB this turn is also a good move in a vacuum.
So, let's start:
I think SB is isolating fish with ~19% range. It might be all Axs, 8xs+, 77+, ATo, QJo+. I think this range is fine, it might be a bit narrower.

On this flop I dont expect to get a cbet from his middle range. So IMO he bets ATo+, 2 pairs, sets, gs, some bd fd.
His xc range is Qx, weak Ax.

Turn: when he checks to us, I think his range is TP, gs with sd value like JT and some traps. That's the first question, do you think x/r this particular turn is fine with hand like QQ? Do you expect that unknown villain should x/r here smth?
I decided to XB, cause probably I'm getting anyway only 1 street value from his Ax hands, generally his range has a very little equity vs our hand so I can give him one free card.

River: pretty easy value raise, even giving him most of his nuts. I probably should raise higher, maybe up to 40$? Any ideas?

So do you think XB turn is a profitable play vs unkown? Or you see some leaks in my thinking process?

thanks in advance!

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