Too passive on the turn?

Hand History driven straight to this forum with DriveHUD 2 Poker HUD and Database Software

PL Omaha 0.1(BB)
BB ($3) [VPIP: 100% | PFR: 50% | AGG: 25% | Flop Agg: 40% | Turn Agg: 33.3% | River Agg: 100% | 3Bet: 0% | 4Bet: 100% | Cold Call: 100% | Hands: 6]
UTG ($7.19) [VPIP: 40.7% | PFR: 0% | AGG: 10% | Hands: 27]
HJ ($10.92) [VPIP: 25.9% | PFR: 18.5% | AGG: 23.1% | Flop Agg: 40% | Turn Agg: 0% | River Agg: 40% | 3Bet: 40% | 4Bet: 0% | Hands: 28]
CO ($9.50) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 15]
HERO ($17.31) [VPIP: 26.3% | PFR: 16.9% | AGG: 35.2% | Flop Agg: 35.8% | Turn Agg: 43.8% | River Agg: 29.5% | 3Bet: 4% | 4Bet: 0% | Cold Call: 20.2% | Hands: 628]
SB ($3.63) [VPIP: 50% | PFR: 12.5% | AGG: 54.5% | Hands: 9]

Dealt to Hero: J♣ K♥ A♥ 9♦

UTG Folds, HJ Raises To $0.35, CO Folds, HERO Calls $0.35, SB Folds, BB Calls $0.25

Hero SPR on Flop: [2.41 effective]
Flop ($1.10): 3♠ Q♠ T♥
BB Checks, HJ Bets $0.79 (Rem. Stack: $9.78), HERO Calls $0.79 (Rem. Stack: $16.17), BB Calls $0.79 (Rem. Stack: $1.86)

Turn ($3.47): 3♠ Q♠ T♥ 6♣
BB Checks, HJ Checks, HERO Checks

River ($3.47): 3♠ Q♠ T♥ 6♣ 3♦
BB Bets $1.86 (allin), HJ Folds, HERO Folds

Think I played pre flop and flop fairly standard, potentially could have 3bet pre but not super sure as to what my 3bet range should be. On the turn, it's a blank, and checks to me on the button, and I opt to check. I'm drawing to the nut straight but currently have nothing, and am in a bad spot if a spade comes on the river since I don't have a spade in my hand, and given the flop action I think one player is drawing to a flush. I feel like I should bet, but I don't know what size.