Tournament: $80 Local Buy In with plenty of recreational players. Not a deep stack game

Hand: 8♣6♣ Position: BB Stack: 68,000 (34bbs) Blinds: 1000/2000 20 min
Stacks: MP1 (48,000 EF) BTN (80,000)

Notes: MP1 has been passive aggressive playing and raising 70% of hands and has raised player on the flop and turn about 4 times without seeing a showdown. BTN is passive and calls a bit
Pot: 3000

Action Preflop: MP1 limps, BTN calls, Hero(BB) checks
Pot: 7,000

FLOP: 8♥ 3♠ 5♣

Action Flop: Hero bets 4000, MP1 raises to 11,000, BTN folds, Hero calls?
Pot: 29,000

Turn: J♦

Action Turn: I check and she shoves 35,000 into 29,000. I fold

Questions
How would you play this hand?
I was thinking that any club on the turn I may shove? Not sure
Thanks

Against a player who seems like a maniac, I probably check the flop.

As played, I’d probably call down given the reads you described.

Check the flop with the intention of raising?

No, check-call down and let them keep bluffing.