I'd be happy shoving both of those last two hands in online freezeouts. But maybe the KO format means you should be less likely to shove there, as you're the shorter stack?
Although, I wanted to check a similar hand myself
PokerStars - 400/800 Ante 80 NL - Holdem - 9 players
Hand converted by PokerTracker 4
Hero (SB): 56.06 BB
BB: 64.46 BB (VPIP: 16.67, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 6)
UTG: 37.03 BB (VPIP: 22.35, PFR: 14.46, 3Bet Preflop: 2.94, Hands: 86)
UTG+1: 61.5 BB (VPIP: 23.68, PFR: 14.29, 3Bet Preflop: 4.88, Hands: 190)
MP: 23.15 BB (VPIP: 17.24, PFR: 14.29, 3Bet Preflop: 6.67, Hands: 30)
MP+1: 44.59 BB (VPIP: 20.83, PFR: 18.57, 3Bet Preflop: 3.57, Hands: 72)
MP+2: 27.49 BB (VPIP: 28.57, PFR: 23.73, 3Bet Preflop: 12.50, Hands: 63)
CO: 16.45 BB (VPIP: 10.71, PFR: 7.27, 3Bet Preflop: 4.00, Hands: 57)
BTN: 45.36 BB (VPIP: 28.57, PFR: 14.29, 3Bet Preflop: 0.00, Hands: 7)
9 players post ante of 0 BB,
Hero posts SB 0.5 BB, BB posts BB 1 BB
Pre Flop: (pot: 2.4 BB) Hero has Q
Q
fold,
fold,
fold,
MP+1 raises to 2.2 BB,
fold,
fold,
BTN raises to 6 BB,
Poker Stars $55 Marathon.
Shove or fold?
(a small 4-bet would be more than a third of button's stack, so I discounted that option)