Throwning away trip aces

[cairpre]

Pasted below is hand played in a sit&go.

PokerStars Game #11734452517: Tournament #59540852, $5.00+$0.50 Holdem No Limit - Level III (25/50) - 2007/08/28 - 03:40:33 (ET)
Table 59540852 1 9-max Seat #3 is the button
Seat 1: juelle110 (1230 in chips)
Seat 3: KJJeff (5695 in chips)
Seat 5: rrdrgz11 (1495 in chips)
Seat 6: cairpre (1240 in chips)
Seat 7: psychonaz (2225 in chips)
Seat 8: GrayRagnar (1615 in chips)
rrdrgz11: posts small blind 25
cairpre: posts big blind 50
*** HOLE CARDS ***
Dealt to cairpre [Kd Ac]
psychonaz: calls 50
GrayRagnar: folds
juelle110: folds
KJJeff: calls 50
rrdrgz11: folds
cairpre: raises 50 to 100
psychonaz: calls 50
KJJeff: calls 50
*** FLOP *** [Ah As 4h]
cairpre: checks
psychonaz: checks
KJJeff: checks
*** TURN *** [Ah As 4h] [6h]
cairpre: bets 100
psychonaz: calls 100
KJJeff: folds
*** RIVER *** [Ah As 4h 6h] [8c]
cairpre: bets 200
psychonaz: raises 800 to 1000
cairpre: calls 800
*** SHOW DOWN ***
psychonaz: shows [4s 4c] (a full house, Fours full of Aces)
cairpre: mucks hand
psychonaz collected 2525 from pot
*** SUMMARY ***
Total pot 2525 | Rake 0
Board [Ah As 4h 6h 8c]
Seat 1: juelle110 folded before Flop (didnt bet)
Seat 3: KJJeff (button) folded on the Turn
Seat 5: rrdrgz11 (small blind) folded before Flop
Seat 6: cairpre (big blind) mucked [Kd Ac]
Seat 7: psychonaz showed [4s 4c] and won (2525) with a full house, Fours full of Aces
Seat 8: GrayRagnar folded before Flop (didnt bet)



On reflection I am not to thrilled with my play. First off this idea of checking when I flop trips is dubious. Very few people are going to be fooled into tossing in more money on the turn and river. And I miss the chance to get bad news early. Better to win the money fast. Also at the end it seems to me that anyone playing can only have either (Hands I beat {2pair or weaker trips}) or (hands I lose to {flush or full house or straight}. And we could have the same hand, or he could be bluffing.
In hindsight it seems most likely that I am beat and should throw my trips away.

Am I overreacting to a slightly bad beat, or is it actually correct to toss the aces. Thanks