NL25 AQs - double gutter + overcards in 4-bet pot

NL Holdem 0.25(BB)
BTN ($13.72) [VPIP: 25% | PFR: 25% | AGG: 0% | Hands: 4]
HERO ($38.81)
BB ($24.82) [VPIP: 75% | PFR: 50% | AGG: 14.3% | Flop Agg: 33.3% | Turn Agg: 0% | River Agg: 0% | 3Bet: 50% | Fold to 3Bet: 0% | 4Bet: 0% | Hands: 4]
UTG ($8.83) [VPIP: 50% | PFR: 0% | AGG: 14.3% | Hands: 6]
HJ ($25) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 3]
CO ($25.70) [VPIP: 0% | PFR: 0% | AGG: 0% | Hands: 2]

Dealt to Hero: Q♠ A♠

UTG Folds, HJ Folds, CO Folds, BTN Folds, HERO Raises To $0.63, BB Raises To $2.25, HERO Raises To $5.63, BB Calls $3.38

Hero SPR on Flop: [1.7 effective]
Flop ($11.26): T♣ J♣ 5♦
HERO Bets $3 (Rem. Stack: $30.18), BB Calls $3 (Rem. Stack: $16.19)

Turn ($17.26): T♣ J♣ 5♦ 8♠
HERO ? ? ?

Villain seemed very 3-bet happy, I also felt like he was more inclined to 3-bet against a 2.5 bb RFI instead of 3.0 bb. My plan was to 4b/c AQs pre here, as I did expect some 88+/AJs/AQo jams.

Flop: standard range bet around 1/3 here, I have plenty of overpairs, sets and draws here.

Turn: I don't think this card helped his range a ton besides 98s or A8s. On the other hand, I only dominate KQ and against Jx this doesn't look good. There might be some occasional AA slowplays too:

Equity Win Tie
MP2 25.97% 25.65% 0.32% AsQs
MP3 74.03% 73.70% 0.32% AdAh, AJs, KJs, QJs, JTs, T9s, KcQc, 9c8c, 8c7c, 7c6c, Ac5c, 6c5c, 5c4c, AJo

With 26% equity, I would need ~~ 46% fold equity to break even. Above are 28 combos, can we find 24 combos that would fold on the turn? I also assumed no slowplayed KK/QQ/JJ/TT. I did assume AJs though, without it my equity roughly stays the same.