$7 K7s postflop play

Poker Stars No Limit Hold'em Tournament - 200/400a25 Blinds - 2 players - View hand 2379739
DeucesCracked Poker Videos Hand History Converter

Hero (BTN/SB): t7350 1 BBs - VPIP: 20, PFR: 16, 3B: 6, AF: 3.0, Hands: 376920
BB: t6150 1 BBs - VPIP: 25, PFR: 16, 3B: 5, AF: 4.0, Hands: 157

Pre Flop: (t0) Hero is BTN/SB with K 7
Hero raises to t600, BB calls t600

Flop: (t1200) 7 2 3 (2 players)
BB bets t1200, Hero calls t1200

Turn: (t3600) 8 (2 players)
BB bets t1600, Hero raises to t5325,

Vs unknown: filtered stats 28 hands 4.0/83/50 Steal=57% SB=57%; Limp=36% SB=36% 3bet=0%

Villain is one who mostly limp, and sometimes minraises pre, post somewhat aggressive but so far not yet overly.

how would you have played it?