Stars 20/180 2 Pair Facing Turn Shove

[erc007]

PokerStars No-Limit Hold'em Tourney, Big Blind is t200 (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP3 (t6775)
CO (t5334)
Button (t2385)
SB (t2925)
BB (t7886)
UTG (t7979)
UTG+1 (t12940)
MP1 (t1895)
Hero (t9503)

No reads on Villain...OPR shows he is not a winning player. I def didn't like this turn card, b/c KQ (see 2nd sentence) is a big part of his range, so are KJ and maybe AK(see 2nd sentence). I think that AQ:AQcc;AJcc;KJcc and 22 def get it in on the flop and AKcc would prob RR preflop. Am I correct to weight his range more to KJ, rather than KQ? Flop lead looks kinda more like AQo than any draw.

Preflop: Hero is MP2 with T, Q.
3 folds, Hero raises to t600, 4 folds, BB calls t400.

Flop: (t1300) Q, 2, T (2 players)
BB bets t800, Hero raises to t2400, BB calls t1600.

Turn: (t6100) K (2 players)
BB bets t4886 (All-In), Hero...?