100zplo - river sizing w/ nuts?

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100zplo - river sizing w/ nuts?

Blinds: $0.50/$1.00 (6 Players) BN: $229.73
SB: $128.73
BB: $296.90
UTG: $293.86 (Hero)
MP: $114.45
CO: $355.92
Preflop ($1.50) Hero is UTG with 6 3 7 8
Hero raises to $3.00, 2 folds, BN raises to $9.00, 2 folds, Hero calls $6.00
Flop ($19.50) 6 5 6
Hero checks, BN bets $10.00, Hero raises to $31.00, BN calls $21.00
Turn ($81.50) 6 5 6 3
Hero bets $31.00, BN calls $31.00
River ($143.50) 6 5 6 3 4
Hero bets

Lately I've suddenly started to struggle w/ sizing at top of my range. Probably a function of playing looser and not being in this region very often.

Developing a dynamic with this vill, who is a decent but non-tricky 21/18 reg. Rightfully, he considers me laggy (39/27 lifetime and a whopping 55/38 so far today) but he's also folded to incrementally bigger turn/river bets in this spot before.

So, I decided to make range look as weak as possible with a repeat bet on turn. I believe the bottom of hero range to be AA, but also his turn call can obviously often include hands that have improved from flop.

So, what are we sizing river here?

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