MPvsBB: facing river x/r

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MPvsBB: facing river x/r

Blinds: $1.00/$2.00 (5 Players) UTG: $217.48 (Hero)
CO: $216.08
BN: $211.70
SB: $246.79
BB: $412.00
Preflop ($3.00) Hero is UTG with A J
Hero raises to $6.00, 3 folds, BB calls $4.00
Flop ($13.00) 5 T 9
BB checks, Hero bets $7.99, BB calls $7.99
Turn ($28.98) 5 T 9 J
BB checks, Hero checks
River ($28.98) 5 T 9 J 3
BB checks, Hero bets $20.00, BB raises to $80.00, Hero calls $60.00

BB is a really good player. His stats are 26/21 agg 30% (29/29/33), he defends about 18% BBvsMP (4.6% 3bet).
I guess my main mistake is the size on the river, probably I should have had to bet around 1/2 pot . But as played what do you do vs river c/r? What hands should we call in that spot OTR? AJ blocks some combos that he might turn to bluff like AQ,AK,AT,A9s,JQs, but even if we had AA, KK, QQ blocked a certain number of combos. So how do you build your calling range here?

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