SNG 6max 0.5€ AQo bubble check or bet river?

PokerStars - 25/50 Ante 6 NL (6 max) - Holdem - 3 players
Hand converted by PokerTracker 4

SB: 43.1 BB (VPIP: 49.47, PFR: 8.65, 3Bet Preflop: 3.45, Hands: 324)
BB: 102.22 BB (VPIP: 51.85, PFR: 14.67, 3Bet Preflop: 6.35, Hands: 200)
Hero (BTN): 34.68 BB

3 players post ante of 0.12 BB, SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.86 BB) Hero has A♦ Q♣

Hero raises to 2.5 BB, SB calls 2 BB, fold

Flop: (6.36 BB, 2 players) A♣ 6♣ 4♥
SB checks, Hero bets 4.24 BB, SB calls 4.24 BB

Turn: (14.84 BB, 2 players) Q♠
SB checks, Hero bets 9.9 BB, SB calls 9.9 BB

River: (34.64 BB, 2 players) K♣
SB checks, Hero checks

On this river should i shove or check? Reviewing my hand when we reach the river the only hands that could beat me are trips (66 or 44) or flush but the only flush that i see here are some weaker combos, who certainly still call a shove, but it's less likely that he had flush. Is my idea wrong?

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