Ran this hand through SNG power tools and got a +0.6%EV for pushing rather than folding, assuming the BB had a fairly lose range because of his big stack and SB had quite a tight range.
Although I got this result, would it still be wiser to try and outlast the shorter stack?
PokerStars No-Limit Hold'em, 3.25 Tournament, 100/200 Blinds (3 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com
BB (t5420)
Hero (Button) (t1830)
SB (t1750)
Hero's M: 6.10
Preflop: Hero is Button with Q

, K
Hero bets t1830 (All-In),
1 fold, BB calls t1630
Flop: (t3760) 2

, 5

, K
(2 players, 1 all-in)
Turn: (t3760) 4
(2 players, 1 all-in)
River: (t3760) J
(2 players, 1 all-in)
Total pot: t3760