No hands nor reads on opponent. I guess pretty standard until river. Since the flush card hits fold is justified? Though it is kinda hard to imagine what suited hands would a random player call in that position preflop...

[converted_hand][hand_history]Poker Stars, $5 Buy-in (300/600 blinds, 70 ante) No Limit Hold'em Tournament, 8 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

SB: 13,133 (21.9 bb)
BB: 28,083 (46.8 bb)
Hero (UTG+2): 31,076 (51.8 bb)
MP1: 29,471 (49.1 bb)
MP2: 40,109 (66.8 bb)
MP3: 110,675 (184.5 bb)
CO: 30,733 (51.2 bb)
BTN: 26,091 (43.5 bb)

Preflop: Hero is UTG+2 with K K
Hero raises to 1,272, MP1 calls 1,272, 6 folds

Flop: (4,004) 4 4 Q (2 players)
Hero bets 1,601, MP1 raises to 3,600, Hero calls 1,999

Turn: (11,204) 6 (2 players)
Hero checks, MP1 bets 6,900, Hero calls 6,900

River: (25,004) 5 (2 players)
Hero checks, MP1 bets 17,629 and is all-in, Hero?

Check-shove turn looks best now that there's two flush draws onboard. There's only a very narrow range of hands that beat you.

Bigger on flop, might just cib gii as played vs range with very few better value hands. I don't expect a random to have many random bluffs here, so might be better to just go for straight value or hope villain tools with w/e XdXd or worse. Calling down becomes better the wider we expect villain to raise the flop. I guess we just fold now since villain will have few worse hands for value and has us crushed otherwise.