How (and why) do you play this hand as big stack on the bubble of a short-handed SNG? All players are reasonably skilled. BB has played pretty tight in the previous ~100 hands this tournament, and in several past tournaments, and is probably not quite aggressive enough with a shortish stack, but he's solid with a big stack. Payout is: $700 for first; $300 for second; $0 for third.
SB: 2,920 (29.2 bb)
BB: 1,925 (19.3 bb)
BTN: 5,155 (51.6 bb) with 3⋄ 4♠
BTN raises to 287, SB folds, BB calls 187
Flop: (624) 5♣ 2♣ Q⋄ (2 players)
BB checks, BTN bets 468, BB raises to 1,147, BTN?