bb sv btn 3b pot overs+nfd

PokerStars - $1 Ante $0.20 PL Hi (6 max) - Omaha Hi - 4 players
Hand converted by PokerTracker 4

SB: 278.01 BB (VPIP: 25.68, PFR: 16.40, 3Bet Preflop: 3.68, Hands: 1,415)
Hero (BB): 315.88 BB
CO: 406.86 BB (VPIP: 69.44, PFR: 30.56, 3Bet Preflop: 0.00, Hands: 36)
BTN: 247.7 BB (VPIP: 28.32, PFR: 19.22, 3Bet Preflop: 6.76, Hands: 706)

SB posts SB 0.5 BB, Hero posts BB 1 BB, 4 players post ante of 0.2 BB

Pre Flop: (pot: 2.3 BB) Hero has A♥ K♠ 3♠ Q♥

fold, BTN raises to 4 BB, fold, Hero raises to 13.3 BB, BTN calls 9.3 BB

Flop: (27.9 BB, 2 players) 9♦ 5♥ 6♥
Hero checks, BTN bets 16.51 BB, Hero raises to 76.17 BB,

i don't like my play here tbh. without a pair deep only nfd. i mean villain is stabby and i was kind of sure that he will bet when i check but i would be awkward if he goes over the top or flat and a 478T etc without appears ott.

so...what should we do? c/c seems pretty obv...so b/? better?

villain: wtsd 25 wsd 53 af 4,0 freq 52