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NL50 AJs river overbet?

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NL50 AJs river overbet?

Blinds: $0.25/$0.50 (6 Players) MP: gmiko: $71.97
CO: Trumper69: $40.49
BN: babystuy: $83.20
SB: Grant[NY]: $52.42
BB: zipper2468: $82.37 (Hero)
UTG: Ryttz: $71.17
Preflop ($0.75) zipper2468 is BB with J A
Ryttz folds, gmiko raises to $1.50, Trumper69 folds, babystuy calls $1.50, Grant[NY] folds, zipper2468 calls $1.00
Flop ($4.75) 3 T 7
zipper2468 checks, gmiko checks, babystuy checks
Turn ($4.75) 3 T 7 K
zipper2468 bets $3.00, gmiko folds, babystuy calls $3.00
River ($10.75) 3 T 7 K 8
zipper2468 bets $8.50, babystuy calls $8.50

Open-raiser and BU seem like fairly standard regs, no reads on BU so far. 350 hands, only maaybe reliable stat is WTSD 25%.
SB and me are also fairly standard regs, we're not nitty but not so squeeze happy to make flatting KK+ on BU here a good idea.

I think his range for calling the turn is most likely something like 50% AK, KQ, KJs and TT. My value range can have any 33, 77, KTs, K7s, K8s, T8s, T7s, 78s, 9Js.
I also have a various OESDs, gutshots and sth like 76s, A7s that miss on river, not many though.

I think this is a very good spot for an overbet but I have no idea how large it should be. Since I don't have many missed draws probably not too big?

Thoughts?

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