Protect stack despite good odds against his range? 6max double up

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Protect stack despite good odds against his range? 6max double up

BTN: 30.96 BB (VPIP: 16.67, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 12)
SB: 28.5 BB (VPIP: 16.67, PFR: 8.33, 3Bet Preflop: 0.00, Hands: 12)
BB: 24.76 BB (VPIP: 72.73, PFR: 9.09, 3Bet Preflop: 0.00, Hands: 12)
Hero (UTG): 35.6 BB
MP: 27.5 BB (VPIP: 8.33, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 12)
CO: 32.68 BB (VPIP: 41.67, PFR: 8.33, 3Bet Preflop: 0.00, Hands: 12)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Qh Ass
Hero raises to 2.5 BB, fold, fold, fold, fold, BB calls 1.5 BB

Flop : (5.5 BB, 2 players) 3c 3h 8cc
BB bets 1 BB, Hero calls 1 BB

Turn : (7.5 BB, 2 players) Add
BB checks, Hero bets 4 BB, BB raises to 8 BB, Hero calls 4 BB

River : (23.5 BB, 2 players) Kdd
BB bets 13.26 BB

Given my price and the missed flushes and potential for this player to be betting Ax for value given his HUD stats, in a cash game, I'd fairly easily call this given the price I'm getting. But since this is a double or nothing 6max, this would cost me half my stack and given his calling range preflop from BB is close to 100% he has a lot of 3x's. Should we be folding this?

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