6-handed 2,5/2,5€ Live game, folded to me on SB, i raise w.KJT6ds, BB (who seems tricky and decent)
3bets pot to 22.50€, I call

Flop: Ah Qh 5c, I have JT of clubs.

I check, villain bets 35 into a pot of 45, I call.

Turn 4c,

I check, villain bets pot 105, I call.

River 8c, I put the villain all-in for his remaining 150€, he fistpumps-calls saying:"nuts" and showing AQ98ds with nut clubs.

I remember feeling annoyed after the hand, but thinking back none of my options feel really good; technically speaking folding the flop would be correct i guess, but it feels super-nitty against an aggro BB.

Also some thoughts on backdoor-flushed crossed my mind. On these Axx flops/turns, when villain is betting hard (especially after 3betting preflop), the possibility of him having having the nut flush probably rises, as he is often betting Axxx.

So how to play this annoying hand?