Standard Play and ICM

[Danshot]

Just played a tourney with 16 players left and the top 7 get over $100 i'm sitting in 5th well ahead of 8th so final table in sight. My bankroll is only around $200. I pick up Queens UTG with blinds 300/600 I raise to 1600 with 14k approx left behind and get 3 bet to 4200 by the active chip leader who appeared very active. Before it folded back around to me I prayed someone else would shove but they didn't was down to me and I shipped it in and he snap called I knew was in trouble especially when flop comes ace hig and im drawing dead to his set of aces barring running queens. In hindsight I would call and reassess on the flop and shove most none ace boards. Can I take a better line or is shipping queens such a no brainer here!