All-in with toppair T

Poker Stars $1.00+$0.10 No Limit Hold'em Tournament - t100/t200 Blinds + t25 - 9 players - View hand 2983622
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Hero (BTN): t2799 M = 5.33
SB: t5805 M = 11.06
BB: t5695 M = 10.85
UTG: t2544 M = 4.85
UTG+1: t3000 M = 5.71
UTG+2: t7401 M = 14.10
MP1: t8174 M = 15.57
MP2: t19747 M = 37.61
CO: t3940 M = 7.50

Pre Flop: (t525) Hero is BTN with A T
6 folds, Hero raises to t400, SB calls t300, BB calls t200

Flop: (t1425) 7 9 T (3 players)
SB checks, BB bets t200, Hero raises to t2374 all in, SB folds, BB calls t2174

Turn: (t6173) K (2 players - 1 is all in)

River: (t6173) 5 (2 players - 1 is all in)

What do you think about this play?

Given the fact that many players call an all-in bet with nothing in such spots, I thouht that I should exploit that behaviour.
Moreover I had only 14 BB left, so I wanted to take this opportunity and try to double up.