When villain's raise sizing screams "PLEASE FOLD"

Full Tilt - |80/160 NL - Holdem - 9 players
Hand converted by PokerTracker 4

BB: 4,960 (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: -, Hands: 2)
Hero (UTG): 6,315
SB: 11,065 (VPIP: 17.39, PFR: 4.35, 3Bet Preflop: 0.00, Hands: 23)

9 players post ante of 20, SB posts SB 80, BB posts BB 160

Pre Flop: (pot: 420) Hero has J J

Hero raises to 350, fold, fold, fold, fold, fold, fold, SB calls 270, BB calls 190

Flop: (1,230, 3 players) Q 5 2
SB checks, BB checks, Hero bets 540, fold, BB raises to 2,850, Hero raises to 5,945 and is all-in, BB calls 1,740 and is all-in

Turn: (10,410, 2 players) K

River: (10,410, 2 players) T

Hero shows J J (One Pair, Jacks)
(Pre 82%, Flop 91%, Turn 100%)
BB shows 8 7 (High Card, King)
(Pre 18%, Flop 9%, Turn 0%)
Hero wins 10,410

I thought for a while before shoving (as you should 40bb deep with a mid pair). I was expecting a combo draw like FD+ gutshot, maybe a weak queen, I mostly discounted sets because of the dumbass raise sizing, but in the end it was a stone cold bluff lol

I didn't bring my A game last night. I made a profit, but I could have gone much deeper. Some notes to myself:

- Don't call a 3bet from a tight player with AQ
- Just because a player sucks doesn't mean they don't have you beat
- Be careful stacking off light multiway (eg tp / overpair)

Won't get much time for poker today.