NL50 tough river with AA in 3bp

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NL50 tough river with AA in 3bp

Blinds: $0.25/$0.50 (6 Players) BN: $46.81
SB: $51.15 (Hero)
BB: $55.20
UTG: $109.41
MP: $190.51
CO: $59.60
29/22 over 340. Capable of 3bet/folding wet flop in SGR pot. WTSD 36, AF f/t/r 4/2/2, RFI UTG 24%, Fold to 3b 50%
Preflop ($0.75) Hero is SB with A A
UTG raises to $1.50, 3 folds, Hero raises to $5.00, BB folds, UTG calls $3.50
Flop ($10.50) T 5 Q
Hero bets $5.01, UTG calls $5.01
Do I have to xC here? I thought that I have enough AcQ/KcQ in my xC range to be able to just vbet this. I might xC KcKx though, since I'd be giving up a little bit less value with that hand.
Turn ($20.52) T 5 Q 2
Hero bets $10.00, UTG calls $10.00
Once I bet the flop, this is std
River ($40.52) T 5 Q 2 K
Hero bets $31.14 and is all in, UTG folds
I had no idea what to do, so I just jammed, but I think this is likely a mistake.

Arguments for jamming: he might call with AxKc or KJ or herocall with AQ or something... this is fairly weak.

Im just not sure if I xC or xF? I just think that its hard to come up with xC range once I choose this line if I fold AA,...

thanks:)

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