400NL - 3bet pot 400bb deep river decision

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400NL - 3bet pot 400bb deep river decision

BB: $1589.94
SB: $1870.06 (Hero)
Villain is an aggressive LAG. He is playing 99% button open. 56% 3bet, 4% fold to my 3bet, Cbet 73%, fold to cbet 13%. He is the most aggressive player I've ever played.

I am playing a 63% button open, and calling 30% of his 3bets.
Preflop ($6.00) (2 Players)
Hero was dealt 4 6
Hero raises to $12, BB raises to $44, Hero calls $32
Now that we are super deep, I've expanded my calling range vs his 3bet to be very wide.
Flop ($94.00) 5 3 K (2 Players)
BB bets $32, Hero raises to $100, BB calls $68
I've got a very strong hand on this flop. I want to play a raise range vs this size of cbet on this flop. I want to build the pot in position with my good hands and exert maximum pressure.

My range for raising..

value: 55, 33, 53ss (probably smooth call K5, K3 because of my King blocker)
bluffs: AXcc, 46s, 67cc, 47cc (my gutters + FD)

He calls my raise. He could have any 2 cards here. Villain floats and is hard pressed to fold any 2 random cards.
Turn ($294.00) 5 3 K 9 (2 Players)
BB checks, Hero bets $200, BB calls $200
I don't want to POT here because I don't want to get shoved on and get folded off my equity. I bet a size where I have odds + implied to call a turn CR if he chooses to do so.

He flats my bet.
River ($694.00) 5 3 K 9 2 (2 Players)
BB bets $1245.94, and is all in, Hero calls $1245.94
My range gets shafted on this card. Based on how tight I was playing vs his 3bet, I think I rarely have the nuts in this spot. I can only call his 2x donk overbet with the exact hand I have perhaps 46hh, A4cc, or 46cc. I was opening 63% and calling 70% of 3bets so I only have the top 44% of hands so I think villain thinks I can't have nuts very often in this spot (its pretty rare for me to have the 46 combos).

What should my calling range be like vs this 2x donk shove?

46, A4, 55, 33? Do you think his shove is plus EV in this spot?

-Mush

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