BB is 16/4/2 over 100+ hands.
SB is shortstack and 50/4/4 or something over 30 hands.

Maybe a pot-sized reraise on the flop is too big? I still didn't want to call since the board was very drawish. $63 to call for a $144 pot when he pushes. Easy fold, right?

Party Poker No-Limit Hold'em, $ BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

saw flop|saw showdown

MP3 ($100)
CO ($109.25)
Hero ($98.50)
SB ($18.59)
BB ($98.50)
UTG ($111.82)
UTG+1 ($94.15)
MP1 ($45)
MP2 ($43.42)

Preflop: Hero is Button with Q, Q. MP3 posts a blind of $1. SB posts a blind of $0.50.
4 folds, MP3 (poster) checks, 1 fold, Hero raises to $5, SB (poster) calls $4.50, BB calls $4, MP3 calls $4.

Flop: ($20) 6, 9, J (4 players)
SB bets $1, BB raises to $9, MP3 folds, Hero raises to $30, SB folds, BB is all-In [$84.50] Hero folds.

Final Pot: $60