Was i right here to risk it all with KK ?

[duma]

i am at the final talbe of a $50 buy in 20 person tournament. top 4 get paid.

7 players left
starting stack is 1000, i have 1150
blinds 75-150
i am the Big Blind

i look down and see pocket Kings. its folded around to the button who pushes immediately all in for 950. action to small blind who thinks a very long time. he has about 1400 in chips. he finally decides to call. while he was thinking i am telling myself that i have to call with this hand regardless of what he does. i did not put either one on Aces. Small blind was a very loose agressive player and the Button was a very solid player who played strong hands. if he had Aces he would have probably min raised seeing that everyone had folded before him. Plus i saw him limp twice before with AK trying to trap.

I go all in with KK. it is 200 more to the SB and he calls so three way action. Button flips over 88 and SB flips over AK clubs. im thinking to myself that i have to be a slightly small favorite here because i am up agasint 2 very good hands. but i need to get lucky for it to hold up.

Flop is As Qc 5c. pretty much ending it for me i need the case king. strangely enough the turn is the 8c. so even if the SB never called i would have lost to a set of eights. river doesnt pair the board and AK takes down 2 players at once and ends up finishing 3rd place.

was it just bad luck for me here? or should I have folded my KK and waited for something else later. If i triple up here then i would be looking very good. there was 1 short stack left who pushed on the very next hand and got 5th. should i have just folded and tried to play for 4th? Any help appreciated. thanks.