Blinds are both semi regs.

I have no idea what I should be pushing here. ~16 left.

[converted_hand][hand_history]Poker Stars, $13.78 Buy-in (200/400 blinds, 25 ante) No Limit Hold'em Tournament, 7 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite. View Hand #13557352

CO: 2,023 (5.1 bb)
Hero (BTN): 6,032 (15.1 bb)
SB: 3,536 (8.8 bb)
BB: 2,760 (6.9 bb)
MP1: 6,735 (16.8 bb)
MP2: 4,156 (10.4 bb)
MP3: 11,516 (28.8 bb)

Preflop: Hero is BTN with 6 K
5 folds

Any suited king with 2 players left to act is very strong and I would go with it. Pushing ~30% of your range here is good imo.